See, the Nolan films will either way stand on their own. Nothing changes. As for the new filmmaker, sure, it will give them more freedom, but, again, look at Schumacher. I don't think he was in any way tied by the Burton films, even when he acknowledged them. Perfect example for that? Harvey Dent. Black in B89, white in BF. Problem solved, no hands tied.
Harvey Dent....dead in TDK.

Is it okay for the next version to use him without....alive...having to even address that yet still leave the possibility of being tied to the Nolanverse? Could Schumacher have just had another Joker show up without explaining that he wasn't dead after all?
Just let the new Batman movies do their own thing like Nolan did with his with no regard to earlier movies....if they want to, of course. If someone actually wants to build off of the 'Nolanverse'...well, if it were my decision, I'd look for another filmmaker who wanted to do their own thing.
And in no way would I want them to be any different. I'm not talking quantity here. How more Batfilms will there be, ever? Let's say 30. All I'm saying is they could break some them in trilogies, which have all one thing in common: They share a vaguely same backbone. In B16, for example, I wouldn't mind if they acknowledged that 2Face once threatened Gordon's still infant son.
I don't think people are missing a sense of solidarity or what have you by having the first two trilogies as completely separate entities with no common 'backbone', so there's no reason another set can't be its own thing separate from the Nolanverse's backbone as well. I doubt most people would mind if a new Two Face had nothing to do with Gordon's anything in the past, either.
I don't want them to reflect the comics history. I'm just talking about the format here, not the content.
I'm talking strictly about format, why they're different, and why they're approached differently. If you want them to be a series of ongoing episodes or the like...like comics and TV are...then do them in a format that's best suited to that...like comics and TV are...and do that as well as possible.
That's exactly what I'm suggesting.
But why, though? Why not do it on TV where it naturally lends itself to that better? Never mind movies, there's never been a better time to do something like Batman on TV than now...with all the different cable networks and HDTV's, etc. Someone could still take a cinematic live-action approach to Batman that doesn't have to dilute itself for kids, and treat it episodically like in the comics. Make a Batman equivalent of Smallville (as a loose example), without having to be so teen-oriented.
Of course, this doesn't mean that I don't understand and respect how you...as well as a lot of Batman fans...feel. I just feel that for films to continue being really good, they also need to be treated with a certain respect for their individuality/uniqueness as a format, if that makes any sense. And I think that's more important in this case because Batman will always continue to be what he originally is in comics et al, whereas the movies can concentrate on being as good as they can as movies, even if they don't quite mirror the experience of the comics.