P-factor after touchdown in small GA aircraft

This is a real-world situation I encountered and have been thinking about. I am a student pilot, ready to solo with 8 hours in the books. I've done probably 20 landings or so, and I had trouble on only one of them, and it was after touchdown. I got dancing on the rudder pedals as I touched down, thinking for whatever reason that because I need right rudder on the ground while taking off, that I would need it on the ground after touchdown as well. The more I think about it, the less it makes sense (and I think I'm answering my own question as I write this).
So my question is this: if you land going straight down the runway, there should be no need for touching the rudder pedals at all to correct for p-factor, correct? The reason you wouldn't is that you're in a power-off situation, and p-factor results from high power (e.g. your takeoff roll).
Any thoughts would be appreciated.
(The aircraft in question is a Cherokee 160)
So my question is this: if you land going straight down the runway, there should be no need for touching the rudder pedals at all to correct for p-factor, correct? The reason you wouldn't is that you're in a power-off situation, and p-factor results from high power (e.g. your takeoff roll).
Any thoughts would be appreciated.
(The aircraft in question is a Cherokee 160)