There was a discussion
here about how sometimes, the 2003 hulk could be seen and referenced as unofficially canon to the mcu, and tih being an unofficial sequel to it. I don't remember everything from each but if the events don't contradict each other, then aside from the fact that 2003 hulk isn't referenced at all in the MCU, is there anything wrong with thinking that?
and in that discussion, another point was that the same can be done with Nolan's batman movies, in that they can be seen as quasi-prequels to MoS and bvs. it does sort of fit.
-DCCU Batman is old and out of commission, and at the end of DKR, Batman is retired.
-Joker was left alive, taken into custody at the end of TDK, never killed off, and could come back for more.
-There was a "robin" that Batman passed his mantle to, but his fate was left up the viewer at the end of DKR.
and before anyone gives the whole "nolan's gritty realistic world wouldn't make sense", I just wanna say, there's no way I will believe that
-some ninja-terrorist-illuminati group (League of Shadows)
-or some drug that could make Batman look like this to scare people but then make people try to kill him (Scarecrow Fear Toxin)
-or a psychopathic murderer could singularly figure out months and months of planning to blow up ferries and a hospital (Joker)
-or a man who can punch through concrete (Bane)
could ever exist in a "realistic" world, which there is only one; ours. Reality. None of this crap is plausible the way we know things.
Hey man, people like to say daredevil and jessica jones are gritty and "grounded" too but guess what, it's still part of the same universe where there's a talking anthropomorphic raccoon, and a sapient/sentient tree, and, humanoid aliens...and a giant green range monster, and you get the point. =]