I generally don't like crossovers between Alien and Predator and prefer to see both in their own films. Both films have no respect for the origins of either brand.
Still, for me, THE Predator is the worst film of all.
If I have to choose, I would prefer AvP-R because of the action. Wolf is a little better in design again and the Predalien is ok if it weren't for the shitty fertilization idea. The Alien Warriors don't look good at all anymore. Basically, the film isn't much better than The Predator and is a slap in the face, especially for Alien fans.
When I listened to the audio commentary and the making of, I was initially disappointed and annoyed. Too many stupid decisions and apparently unqualified people who sometimes don't seem to really know what it's about.