Robert,
It has always been my impression that there are 2 types of primers for small gasoline engines:
1) One type primes the combustion chamber by squirting raw gasoline into the fuel intake.
2) The second type primes the carb by pumping gasoline into the fuel bowl.
One crude method of determining the type of primer is by observing the priming instructions. If you are priming the combustion chamber, then you'll be instructed to pump the primer just a few times. If you are priming the carb fuel bowl, then you are probably instructed to pump more times.
A better method is to test the primer while the engine is running. Have another person rapidly pump the primer while the engine is running. Ten very rapid pumps should work fine. If the engine operation is not changed with all of that priming, then the primer delivers gas to the fuel bowl and not to the combustion chamber. But if the engine sputters or stalls, then the primer is delivering fuel to the combustion chamber and the rapid primer while running is flooding the engine with too much gasoline. Often this will cause the engine to sputter and stall.
I've never read any of this anywhere and it is just what I've picked up over the years. I have small gasoline engines which display both sets of behaviors, so I'm a believer that there are 2 priming methods.
Good luck, Gideon