The problem might be with the purge valve in the EVAP system.
This valve is normally closed. But if the valve sticks open, fuel vapors can be forced into the engine while refueling, and this can cause a flooded condition where it requires that the accelerator be depressed in order to start the engine.
Since the advent of OBDII, it’s impossible to flood the carbon canister in the EVAP system on today’s vehicles. Because not only does it have roll-over valve, it also has a refueling control valve.
Tester