No argument from me there. I was referring the Pats '01-'04 dynasty, particularly the last two years.
As for this actual topic, I just had a chance to watch my tape of the game, and can confirm that the call on the Branch catch was correct.
The ball hits the ground, but there's no visual evidence that his forearm is not under the ball (his upper arm blocks the view).
One can conclude, though, that his arm was indeed under the ball, for the following reason. As Branch bounces off the turf, the ball follows the EXACT same trajectory. It does not lag behind in the least. Therefore, if it was supported by his arm well enough to bring it up with him when he bounced, then he must've had enough control for it to be a catch.