Yeah, that's weird. Gas should start flowing the instant the switch is pressed. It stops flowing once thepostflow timer runs out, which starts when the switch opens. So every time you hit the switch, you should hear a "Pfft..." no matter where it is.
Try the foot pedal since it has a switch too which works the same way. That will rule out a bad torch switch.
Arc should have nothing to do with it.
PS - that sounds like a lot of post. I set pre to start the arc after the initial blast of gas has cleared for a good crisp start and post to keep the tungsten (and occasionally work) clean. That's about .5 and ~5 seconds?
Oh, are you using the everlast flow gauge, which is in lpm? Set around 7lpm! (0.5lpm ~= 1cfh)