Actually, I had heard about Chappelli's comments, mate, I think he just wrote an autobiography (or someone wrote his bio, one of the two). He's never been backwards in his opinions on these two men.
What Bradman and Waugh share is a sense of aloofness - and perhaps a level of distance between themselves and the team. I remember from watching the "Cricket in the 70's" doco that Chappell and Bradman banged heads over pay issues back when Ian was captain - by some accounts Bradman was somewhat elitist and had a touch of the "let them eat cake" about him.
It's no secret that Chappell always wanted Warne to captain Australia - and that, combined with his perception that Waugh wasn't really "one of the boys" (although I genuinely don't believe he thought himself better than anybody he played with, and I believe his conduct and support for the players under him establishes that pretty neatly) just spawned an intense dislike in Chappell. Obviously I disagree completely with his assessment of Waugh's captaincy and character, particularly the "selfish" part. I think Waugh was always very focussed, and socially, fairly shy, unlike the larrikins Chappell tends to favor.
Ponting was heavily favored initially by Chappell when he first got the captaincy, probably because he (Chappell) was so ecstatic that Waugh was gone. I think he's really cooled on Punter by now though.
Chappell's one of those strange characters of the game - I don't think he's a bad guy, but if you rub him up the wrong way (no matter how nebulous), he will hold a grudge forever. He was one of the best captains Australia have had though.