I would try process of elimination before changing circuit board. My experience has been when the gun trigger is squeezed, it activates an electric solenoid to allow gas flow while welding. You can possibly open side cover and find this solenoid valve, install volt meter and have someone watch while welding to see if voltage is dropped.
Most of the time, my problem has been with the gas gauge or flow meter. One place to look is the fitting on the outflow side of the gauge. There is a metering orifice in most fittings where the line attaches to the gauge.
There may be contamination here. If the gauge has been changed at some point, may be wrong metering orifice for your machine, basically running out of gas.
Is the gun liner kinked or worn to point where wire feed is partially restricted?
I've had same concerns as you on circuit board problems with gas flow, but so far has been something else.
Good luck.
David