Can you show how you are so certain the the screen used boots are from At The Front (ATF)?
The screen used do not look like reproductions at all. They look vintage authentic (reworked of course) to me.
There are four reproduction Jumpboots, Sturm by Miltech which are "sort of look-a-likes" to the real thing. Modern boots made to resemble and will actually fall apart on you, a company called WW2 Impressions which have a big bulbous toe like clown shoes and the two decent ones made by AFT and the other by Corcoran.
The Corcoran ones aren't really reproduction since they actually never stopped making them to the same spec so they are perfect. Jumpboots do have a "easy bull" toe so it is fairly rounded - these are the boots worn by everyone in Band of Brothers so you can see the profile of the toe on that.
ATF are a reproduction and decently put together but don't have the same toe cap profile, more a continuation of the foot shape.
If you know WWII kit and you know your reproductions then you can see the differences. The tiny shots of them are hard to make out but the bigger one shoes them to be ATF, as you say they are well restified by the props dept.
The issue with getting vintage "real" boots for filming is that you need a large number of pairs all looking the same and the only boot that looks "sort of like" a jumpboot is Dutch para boots and they are not those. Original jumpboots will cost you about £400 for a pair and will likely not be strong enough.
ATF are what's used in the film, if you just wan't the best jumpboot then Corcoran Historic Jumpboots are what you want but they cost £120 in the UK. If you want the cheap option you could buy the black ones that can be got for £30 army surplus (as used in A Clockwork Orange) and blast the black off and hope there's colour under there to be brown.