"However, what I really meant was that you cannot accelerate the process to any desired degree; there will always be an upper temperature limit beyond which any potential life would be destroyed."
Of course. This is even obvious in Health class. We need heat to metabolize, but that same heat causes radicals that kill us slowly (hence, we MUST die!)
But accelerated metabolism not-withstanding, the building blocks do not "die" when they are heated. Organic compounds are what I refer to. These are built faster (and form amino acids faster) when heated. This would speed up the process by several factors.
I'll post more later, my roommates are blaring music right now. I'm going to find a better place.
See my post #241. I meant to ping you to this post and forgot.
People do grow cultures in petri dishes at higher temperatures. Molds, fungi, and bacteria to reproduce somewhat faster. Your idea will work but not at too high a temperature. At higher temperatures, there are new chemical reactions not available at lower temperatures; not all of these are good for living things.