I love topics like this
Here are a few of my thoughts.
Not so much a recognisable form of martial art would be taught like we would define it, but how they fight I think does reveal somewhat how they live, and in that I analyse their way of fighting.
Predators are born strong, infact I believe from the first movies anyway that they have a higher gravity planet also, there is almost skipping motions in their jumps like a human would be on the moon. This would certainly aid stealth in our environment.
They were raised in death, honour and the hunt, much akin to japanese samurai, the real ones, where children are breed to be warriors to succeed the family name. That sort of society breeds a lot of competition, schools and methods would have been used differently with clan war fare.
They would study as is clearly evidenced anatomy of aliens and other alien animals. water creatures, flying, humanoid, reptilian, dinosaurish, cat like.
They would study strategy, following the words of the long dead miamoto musashi equivalent who took an entire alien planet with nothing but a day pack, and a day pack to them is probably, walking staff, camp knife, disk and a few shurikens.
Bushcraft, medical training and even astronomical and advanced physics, lessons.
Society itself is probably based on three of four cultures, the builders, the warriors, medics and scientists. but perhaps there are smaller fields for the study of history and oddities.
They clearly all work together to fight the common goal of mastering the hunt.
Scientists say they found a new species, warriors send in a scout, calculate terrain, local environmental support, food, etc. Scout comes back and says here is how this thing moves, what it eats, what we can eat, but we can eat it. Warriors go back to scientists and builders in a joint govt thing, and build the weapons they think are worthy of use. Consulting the historian every now and again who says, no we have records of animals like this in the past and it was decided that lasers were not needed because of the animals lack of technological development or something.
Warriors go off on the hunt, military like decisions are made behind closed doors to enslave the planet, help them develop and demand sacrifices.
Okay, kinda getting side tracked here...
Aliens are exceptionally fast and they do not need to build up speed very much at all, their ability to recreate is extraordinary.
Warriors needed to fall on their back in an arena with ten aliens and take them all out in as little time as possible, Sugobujutsu rings clear here, battle field tactics, take it down, break the neck, throw the next guy in the next ones face, turn and cut, etc etc
I can see some sort of speed training here with ten preds in a circle all running to take the guy in the middle, it's a child hood game but one of great value.
The lowering stance has both fear and intimidation properties but is also the fastest way to move the right direction to avoid the bite or get the kill spot for something akin to humanoidish musculature systems, In addition, it lowers the centre of gravity a lot meaning a pouncing alien is more likely only to roll with it or away from it rather than knock it down for a clean bite straight and front this clearly would give the pred slightly more time to win.
Another thing about speed one of the fastest more visicious animals is probably the dog on earth to draw comparison to, similar perhaps to alien intelligence, well a smart dog and a dumb alien without knowing whether there is real intelligence, the ability to communicate telepathically or a hive mind. Anyway
There are two forms of attach mainly, run at you and use their weight in a jump to throw you to the ground, or run at you, and aim bites from circles around you, dodging in and out of range. Perhaps thats why the limbs on preds are so armoured...They have probably genetically bred alien type pets so that the young can learn the motions. I mean if we could create a exo skeletonised cat/scorpion, lizard, animal for training we probably would.
I am sure this would lead to a sort of wrestling system but not one they could easily teach their young as the preds can't exactly shoot tails any where they want. you just gotta be fast, read your enemies moves and kill without pause.
Bring the alien in close so it can't bite, keep moving so the tail doesn't get a lock, break the neck, roll and be ready for number 2...
Pre the third era of technology when pred might have had hunt like philosophies, and they still had arcade games, can you imagine mini preds spending time at them, lets play the spit game, How do you play, What?, Okay new guy here is how it works, all these 400 pipes can spurt liquid out at you just like the aliens right, they line you up with motion detectors and aim, but they are all moving at the same time, so you have to learn to see them and dodge before you get hit. If your get hit, you go home...Mkay...It's like hit the corc games for preds...
The agility in trees and using them shows they have spent a lot of time there, balance tests of a sort were surely undergone, and fighting from those positions in hand to hand. Maybe like ninja on poles, maybe in trees.
The queen alien scar kill, looks like it could have came from a running jump aiming to avoid branches and stab the target, kinda like japanese archery from a horse. He kinda orientates his body and momentum here like a cat controls his fall. Try it with yours and watch how they move from different heights it's quite similar.
Using any weapon from close combat would be extensive, staff most especially, but even the smart disk, some sort of Olympic games system thats mandatory with accuracy range, speed, amount and aggression of initial user, things like that taken into play. Do they live essentially a fuedal system where rank and power rule.
Shuriken of course too.
Infact I can see them train with staff much like japanese kids did with bokkens.
Cutting competitions like naginata, those blades on the end of the combi are pretty small, are they designed to take mainly the tail as it's cutting potential?
you shove a lot of pressure through a small tube and it springs about like lightening. If you have some sort of flesh to attach to that, it would be easily to simulate the thrashing tail that you have to cut off at certain angles, different points along the length...
More marks for perfect angles, ability to move with complete efficiency, accuracy, speed between the set number of cuts.
Separate competitions for deployment from carry positions, mimicking the draw of the gun.
They probably had entire countries dedicated to this art of the cut methodology, like comparing kendo, to iaido and other related arts...
It's a bit trickier to think about how they trained in stealth, considering they mainly use helmets with technology enhancing everything, it would not be a long stretch to say their hearing is not as good as it could be, but helmets might have been used for self awareness stealth training. Performing different tasks and watching the decibel metre go up and down, and learning from your own mistakes, I doubt this sort of thing would be a public or often seen affair.
But they might have blindfolded fights, with or without helmets to see who was better at school level.
Like I mentioned they train for the hunt, the aliens on earth as far as I know were basically graduation tests, Bigger, faster and more deadly animals are out there and kow of a few of them...swimming, flying jet packs for dragons, read teradactils...It would be fun.
