P-factor always referred to pitch factor AFAIK.

It was a huge factor on my GP Extra 300. A 12-6 vs a 11-7 made a bige difference. With the 12-6 it would require a considerable amount of rudder on takeoff and the climbout. You could ignor the rudder once in the air, but climbout was much faster with a bit of rudder as drag was less.

Once in the air and up to speed, it did not have a large AOA, it was not real noticable. But when I would do something like a harrier and hit the gas to pull out, there was a big difference.

It depends on the plane. Most trainers don't seem to care as they have more yaw stability. It will be noticable when you gun it on aborted landings.

When you start getting low-pitch props, the AOA effects the pitch more. Think of a prop with a 15 degree pitch verses a 25 degree pitch. If the plane reaches a 5 degree AOA:

15 degree prop will have 10 and 20 degree AOA on right/left sides.
25 degree will have 20 and 30 AOA.

10-20 is 2:1 20:30 is 2:3. These numbers are non-typical but it shows the effect.