The acc pump covers up the fact the engine can't rev to WOT potential and the fuel takes a while to get flowing from the mains. With the engine effectively unloaded due to the jet's design, the pump shot can rev the engine quite high, high enough to pull on the pri/sec mains almost immediately.
In a car, the lower the stall, the bigger the pump shot for a given carb. My 12 second van with 1800 stall, needs a decent size pump and squirter in the primaries, and a HUGE shot in the secondaries so it doesn't bog off the line.
My 9 second duster with a 4500 stall has about 1/2 the pump shot volume the van needs.
The single carb I have setup for my jet, has the smallest cam available, backed off a bit on the adjustment, with a std size 31 squirter.