It is probably isn't going to carry over but they keep saying Hickman run is huge new take on the X-men. The X-men and mutants operating in secret is big idea. Which has a huge pay off which would be the inevitable "Mutants exists" and the world finding out about them again. So far it is biggest idea I have seen suggested I am not just dismissing it even though it will likely be something else.
So what you are saying they are things for X-men to actively do to keep it secret that sounds like a recipe for a interesting book. There is I reason said "X-men meets MIB" nothing you and others are saying discourages this concept if they are trying to make this the status quo for awhile. These are just elements of stories to tell, it would be pretty boring story if nothing challegening happened. Of course it doom failed no big change from the norm stays, Grant Morrison increase the mutant population to point mutants would have a certain comfort level. Marvel decimated that as soon as possible to get back "the standard X-men status quo". Plus as mentioned above the big payoff is mutants being discovered again by the world. Writers would get to do stories as if mutants had just been discovered in 2000s.
Once I don't think it is going to happen but it by far most interesting scenario pop up