I don't know about that. Dark and brooding Superman could have worked quite well if they'd had a good story to go along with dark and brooding Superman. For instance, the Injustice storyline is basically about two dark and brooding malcontents brooding to each other about the proper way to be a malcontent and it's pretty damn good and they could have made a Batman v Superman matchup based off of that. The problem with the DCEU Superman wasn't that he was dark, but that they didn't commit to anything with him and he was just kind of a whiny emo bitch who wasn't really much of anything except for a bore. The whole "That's not the Superman I'm looking for" issue wouldn't have been an issue if it had been "That's not the Superman I was looking for, but they did something interesting with the character".
If you have a good storyline with interesting characters, it doesn't really matter if they get the standard tone of the characters correct. For instance, if you ask someone to describe Thor, "comedic goofball" won't be near the top of the list and the character in the first two Thor movies was much closer to the character in the comic books, but Ragnarok was by far the best of them because it was a good story and the new character they gave Thor worked well in it.
Similarly, you can do a very good story about what would happen if Superman started acting like Batman and then Batman needed to jump in and shut that shit down. Superman is well known enough that you don't even need to take time to set him up as the symbol of hope and goodness and all that, you just take that as a given and start with him freaking out over Lois Lane dying and go from there. When you have a bad story with boring characters, however, the fact that you missed the tone one expects from the characters is just one of the glaringly noticeable things.
The X-Men movies which were misses were misses because the stories sucked. The new Spider-Man is just well written. Iron Fist and Suicide Squad didn't know what they wanted to do with the characters and if they'd decided that and implemented it, they both could have worked quite well with whatever tone they had amidst good scripts.