1. Yes, Heat'hs "I'm a man of my word" reminded me of Jack's "And Bob, remeber, you're my number one man", mainly because of the audible breaths.
2.Burton's Bats was my introduction to the Bat-world (hell, to the comic world, too), as well. But even since I was a kid I rmember liking the Penguin and Catwman more. The Joker didn't do much to me.
3.Putting the Nolan vs. Burton debate aside (which doesn't exist in principle for me, but there are some comparison that I can't help making), I generally, honestly, have a major problem with actors who are cool as hell, but don't act, and instead they play their one coll-as-hell role.
Jack, Sean Connery, Pacino in his last movies, DeNiro lately, Harrison Ford since forever, so-called monsters who rest behind their own myth and stop trying. I love them all, but they're not volatile enough for me to truly love. That's why I respect Depp, Bale, Brando much much more (and Pacino and DeNiro, until recently).
Nothing against Burton or Jack, but he did play himself, only a bit loonier and Joker in B89 got consumed by Jack, and not the other way around. If I let that pass, then his performance was brilliant. But I can't, so there you hve my 0.2 euros on this.