I think that you ought to conduct some tests before you start tearing your car apart.
The line from the tank to the pump is an easy test as a stand alone component, the pump is an easy test as a stand alone component, and the pump to carb line is an easy test as a stand alone component.
(If you had a problem between the tank and pump, a couple of cranks wouldn't even begin to get fuel to the carb.)
If all this checks out, the only offender left is the fuel pump eccentric, but there I go thinking again.
Do whatever you want because I already said my told-you-so. If you choose some other method to determine the problem, I hope I'm eating crow becaus it would major suck if I hit it on the head. Major suck for you becuse it isn't my problem, and all I'm trying to do is point you in the right direction, none of which will cost you a dime to determine.