this is where you are most likely wrong:
"I've talked to at least 50 differentGTP owners online about this who've had various
problems with theirs, some withsymptoms close to mine but none with the exact
same issue of the car stalling whilewarming up, and then running fine after warming
up."
most said to change the crank sensor. you could have changed for 50 bucks including the puller if you needed to buy one.
"-tech at one point believed it couldbe a crank position sensor. But, after checking it,
decided that it wasn't. I'm inclinedto agree with him because this problem seems to have something todo with the engine temp/running time of the car, and who long it sits"
you have classic crank sensor symptoms. they work and dont work as they want to when bad, and 99% of the time never throw a code for it.