In 25 yrs flying i,ve always taught ..2 strokes prime on C150/2 and 4 on Pa28. The rest of the day generally the engines don't need priming to start.
The biggest problem to starting i have found are pilots who fiddle around with the throttle whilst the engine is trying to start.
Opening the throttle reduces the pressure drop in carb upsetting the mixture. At small throttle setting we get enough suck for the slow running jets to supply fuel.
All Archers i've come across would start warm with the throttle fully closed. Would start and tick over at 800rpm for a few seconds to get oil pressure up then set 12000rpm.
How many times have we heard engines scream away at 1700rpm whilst cold and these are from highly experienced instructors.
In the winter with frost and cold soaked engine i always gave the Cessna 2 primes and the third applied as the engine turns.
I always felt this would help to prevent engine fires, especially in the C150. Also with carb heat selected hot to bypass air filter which is usually covered in early morning dew.