They flash for several reasons-1-the oil pressure is actually low...below like 8psi and usually at idle. This can be because of several reasons-1-the relief valve has junk in it and is stuck partly open, 2-the oil pump got damaged somehow but you say they replaced it,3-the rod bearings are failing and loose enough to bleed-off system pressure, and 4- believe it or not the oil cooler can be blocked with junk from manufacturing. Yes, this has happened to several other members. You need to pull the pressure switch and install an actual gauge so you know what it is. And if low, need to check the relief valve and oil cooler. On the oil cooler you can rig a bypass line. I have to ask...is the engine making and low light knocking sounds at idle that intensify right when you touch the throttle? If so...it's a rebuild.