When someone says: Thats not Superman, Batman, Granny Goodness (insert name here)..
What they seem to mean is that is not how I would like that character portrayed... I get it. I always wanted a Batman who draped his cape over costume as in comics and BTAS. But that doesnt mean any representation of Batman who doesnt look like the one I prefer isnt Batman.
There is room for reinterpretation, reimagining etc, if you don't like it. That's cool. No one is forcing you to enjoy it or watch it. But no one should ever pretend their preferences are the definitive take on something.
Or rather that someone else's take on something is somehow less worthy or wrong. That's what I see a lot of those folks who just do not like Snyder doing constantly. With WW, Batman and of course Superman.
The Snyderverse isnt aiming to be or shouldnt be everyone's definitive variation of these characters. For God's sake, I love the Nolan Movies, but that Batman is so un-Batman like at times.