Better movement - Audemars Piguet ROO or Rolex?

[VICI]

I have read a couple of reviews on both watches - and while there will always be fanatics for both brands, I am curious of your thoughts:

Which watch company has a better movement - Audemars Piguet or Rolex?

So specifically I am comparing a Royal Oak Offshore to a Daytona.

Based on jewels, rotations per hour, accuracy, certification, etc.

The other thing to sort of makes me question AP - what do you guys think of the fact that the chronograph pushers are not alighted with the crown?

Just something that would cause my OCD to act up :)