I have had this problem and seen it on other boats as well. When the dealer did the FF install they wired the 12v lead into the ignition circuit behind the dash. They spliced in to the hot lead and it would cut out every time the motor fired and cause the FF to shut off then turn back on.

My solution was to just pull the FF hot lead from the ignition wiring entirely and wire it to its own dedicated, fused circuit. Problem solved.