I've had five more hot restarts and it's been fine. Luckily the replacement regulator came in a box of parts when I bought the truck.
I'm about to go on a limb and say it is not.just for reasearch purposes for those of us in the future who need a quick diagnosis---- P0441 is the fuel pressure regulator causing a stall sputter problem.
Did you ever check the fuel temp sensor? While you're at check the coolant temp sensor too.
My old 96 D1 would die and not want to restart when hot. Turned out to be a short in the wiring to the fuel pump. FYI
At $100/hr that would get expensive quickly. So fa I'm into parts for about $100.