While personally I don't rate TDK anywhere near as high as most people do (7/10 maybe?) I can see why it's such a critically acclaimed film and why so many take inspiration from it.
As to Chaseter, TASM is my favourite CBM of all time because of how it made me feel on first watch. Yes, I can admire Spider-Man 2 for what a well constructed film it is, but at the end of the day I did not, and never did, connect with Tobey's portrayal of Peter Parker, much less so Kirsten Dunst. Perhaps as well now it helps that I'm a similar age to TASM's Spider-Man so can empathise better, as well. But TASM is the first comic-book movie - Heck, probably first movie
- I've seen that at the end left me genuinely emotional, because of how much I enjoyed and how invested I was in this interpretation of my favourite character, or to put it more accurately, my hero.
Did all of the news which came out after about the deleted scenes and behind the scenes shenanigans make me annoyed? Yes, of course. But that only affected my second watch and took nothing away from that first experience of the film. Rewatches since have not felt any lessened either. So to me, The Amazing Spider-Man is my favourite Comic Book Movie because of my investment in it, how well pulled off the characters were (IMO, of course), how it made me feel when I first saw it and because, on that first watch, it was a flawless film. Yes, it has flaws, many, in fact, but on first watch that film connected with me so much I saw none of them, and that's what's important.
Just my two cents!