Good answer...
OTOH, I'd say one needs to find out exactly what their engine likes. On mine, O290D with MA4SPA carb and no starter, this is my routine.
I do NOT prime, that DOES remove oil from cylinder.
Mixture rich.
Pump throttle ONE time and leave cracked.
Mags OFF
Pull through TWO blades, NO MORE/NO LESS
Mags ON
Will start first blade 9 out of 10 times..
It will NOT start until 3rd blade anyway if mags are initially hot......
I suspect most engines are NOT going to start the first blade anyway so it does not matter if you pull it through or not, the oil will be wiped off either by the starter or by hand..
take your choice.
YMMV
Find out what your engine likes
Jack
PS. If I had a starter, I'd pump throttle once and make it hot....
Whatever, at least once a week I do pull it through by hand to keep track of possible low cylinder, but only if I'm going to then start and fly.
Bottom line, EVERY "cold" start causes wear