There's a couple of inherent problems with that idea though. I've already explained at length how it would undo Obi-Wan's character arc and undermine the nobility of the Jedi who sacrificed everything to protect A New Hope (ie. Luke), but setting that aside for a moment let's consider the logistics of how this would play out.
If we're assuming that the existing saga films are considered canon then it automatically breaks key elements of those established stories. At the end of Revenge of the Sith Vader is told he killed Padme. Luke's existence is unknown to Vader until the attack on the first Death Star in the original film and between that event and the beginning of the Empire Strikes Back he learns that this rebel pilot is his son. Having Vader seek out his offspring between ROTS and ANH would make no logical sense since as far as he knows Padme is dead and the baby died with her. The timeline just doesn't add up. How can Vader or the Empire seek out Vader's offspring who to their knowledge, don't exist?
By hiding Luke and Leia away from the eyes of the Empire (or at the least the knowledge of their lineage in Leia's case) Obi-Wan, Bail Organa, and Yoda by default have the tactical advantage. Now in order to explain this discrepancy, we could assume the writers would have to explain a scenario in which knowledge of Luke existence or Leia's parentage could be divulged to the Empire, but then they have to explain who knows it and more importantly how do they know it?
There were few eye witnesses to their birth and there were hundreds of people who attended Padme's funeral who saw her body with a swollen belly so the reasonable assumption was that the child died with her. Plus only Obi-Wan, Bail, Yoda, and some droids even knew there were twins, so that knowledge was even more limited in terms of who was privvy to it. Unless R2 is some sort of snitch.....

Vader didn't even learn of Leia's lineage until the climax of ROTJ, so you can't even factor her into that part of it realistically.
You can't make the excuse that Palpatine knew about the twins either because if he did then he would have sent Vader out to kill them. Even making the claim Palpatine would send others to kill the twins makes even less sense when Vader was his right hand man. Plus having Inquisitors rather than Vader murdering Jedi and Rebels really brings Vader down in stature as Palpatine's apprentice and subdues him as a villain.
Secondly, even if we disregard these factors you still have to consider that by the time news that someone was after Luke reached Obi-Wan, it would be too late. Tatooine is then compromised as an effective hiding place and they would be on the run from the Empire or whoever was after them. I mean it's clear that he lives in isolation and keeping direct contact with key figures in the Rebellion would make him a target so how could anyone warn Obi-Wan? Besides, if Luke's location wasn't that important then why didn't Obi-Wan spend the 20 years between ROTS and ANH helping build the Rebellion? Why did Leia have to seek him out?
It just raises too many questions and breaks too many key story components that would ruin the established works, all for the excuse to have more lightsaber fights and planet hopping. I mean those are fun elements to a story, but if you have to break that much canon to just to have a few flashy elements then I'm not on board with that. At all. Again all of this runs on the assumption that existing canon is actually going to be honored, which we know for a fact is mutable given the way these stories are always handled now.