The way that always worked for a cold start for my 0- 320 in a Super Cub was three strokes of primer, pull through eight blades by hand, one or two more primes depending on how cold it was, lock the primer, pump the throttle once, set one finger width of throttle and turn the key. (Yes, it had a key start) Keep it running with delicate use of throttle.
I was at one point complaining of poor starting when I discovered the coil for the shower of sparks magnetos was dead. A chuffing miracle that it started at all, really.
There was nothing in the airframe manual at all about starting procedures. (Or about anything much else, really)