So how the hell can you possibly define an "accurate" way to tell a Batman story? Whatever version you choose as your standard is purely arbitrary.
Having a lot of right answers only makes the job easier! Though some are definitely more right than others, depending on your project. Batman: Brave and the Bold was a comedy, so drawing from the Silver Age made total sense in that case (even if it didn't win over
all the fans). I don't think a choice like that is arbitrary when it's been made by an artist, especially if they know what they're doing.
Also, should Batman be a grim vigilante loner, socially distant, a charming playboy, a compassionate father figure with a found family, or potentially insane? Yes, he should. Throw in a no-kill rule and you're doing pretty well. Incidentally, Caped Crusader ticks almost all these boxes, though being cold to Alfred is a new box I don't like much. At least he's working on that.
That is a completely false statement, and an objectively nonsensical one. I mean, Tim Burton's Batman was one of the least faithful interpretations of the comics character you could possibly have gotten.
And it was the least successful Batman movie of the 80s!
Serious answer: I think Batman ticked enough of the boxes to win even hardcore fans over, with the body count and the identity of the Waynes' killer being the most controversial choices. When a comedy actor was cast as Batman people were concerned, but the hype for the movie was so intense that it would've had a huge opening weekend no matter how faithful it was, and I'm really not surprised people were happy with what they got. I mean, I'm not criticising Batman '89, it's one of my favourite comic book movies, but it came out 2 years after Superman IV: The Quest for Peace, so the bar for comic book films was set very very low.
No, I take that back -- one of the least faithful comics adaptations ever was the Bill Bixby Incredible Hulk, which didn't even keep the character's first name, and which specifically tried to be as unlike the comic as possible.
I'm not familiar with the TV series, or even the comic really. I do know it has a lot in common with the MCU Hulk, so I suppose this was a case where the character became more like the adaptation. Despite all the changes though he's still a dude with Jekyll and Hyde problems due to gamma rays, he still changes when he gets angry, and Marvel wouldn't let them turn him red. For a TV series made in 1977, it's pretty comic accurate.
At the other end of the spectrum, you've got something like Zack Snyder's Watchmen, which is technically accurate to most of the source material, but gets a mixed reaction from audiences, as many of us feel it captured only the surface and failed to understand the substance.
Zack Snyder's most critically acclaimed movie on Rotten Tomatoes and IMDb is... Zack Snyder's Justice League. Because
of course it is. But aside from that it's Watchmen, which the equally faithful 300 coming right after it. Personally I agree it is lacking a bit of the substance, but I liked it a lot more than V for Vendetta or League of Extraordinary Gentlemen and I'm hoping the even more faithful animated adaption comes closer to doing the story justice.
I think it's more that some adaptations are better than others and some of those are relatively faithful to the source material.
Faithful and Good: The Maltese Falcon, The Color Purple
Unfaithful and Good: Blade Runner
There have been lots of adaptations and remakes that have eclipsed the original, and plenty of faithful adaptations that have been less than great.
But in the last few years we've had:
Faithful and good: The Last of Us, Fallout, One Piece - huge successes.
Faithful in visuals but not soul: Borderlands, Cowboy Bebop - tragic cautionary tales.
More faithful than the movie: Avatar: The Last Airbender - more acclaimed than the movie.
Other: Madame Web.
I haven't seen Deadpool & Wolverine yet, but they stuck him in the yellow costume and made a billion dollars, so I'm counting that as 'faithful and good' too.