Ask me how I know... I have a turboed MX-5/Miata
Well, in *that* case, you MUST be the expert! I have installed/owned a turbo car. Does that make me an expert too? How about the mechanical engineering degree, the A in heat transfer, the straight As in auto tech? How about the project I manage, in which I personally oversee the requirements definition, design and fabrication of many obscenely expensive items, including several dozen that exist solely for the purpose of keeping things at the right temperature under very challenging environments? How about Corky Bell? Is he an expert? I've read one of his books on forced induction cover to cover, and he doesn't mention thermostats at all.
Resumes can be worth the paper they're printed on. How about a technical analysis?
-Assume an impossibly worst case example of an NSX driving with coolant @ 78*C, and thermostat closed
-Driver stomps on the pedal, immediately unleashing 335KW at the crank
-Typical cooling system absorbs 28% of this energy, or 94KW
-Cp of coolant mix is 3.6 KJ/Kg-*C
-Of the 17kg of coolant in the system, about 8kg is trapped by the thermostat on the engine side
At WOT the coolant will rise about 3.3*C per second. Is this what you mean by "spike"? Is it a problem? It will take about 10 seconds before the coolant approaches an overheat" temp (assuming a closed thermostat). If you've ever dropped a thermostat in boiling water, you know it opens in about 3 seconds.
*** The thermostat can react much faster than the coolant temperature can change! This is really all that matters.
As stated, this is an impossibly worst case scenario. The thermostat starts off closed. The problem statement ignores the benefit of the bypass paths. As soon as the coolant rises above 78*C the thermostat will begin to open. The pump, with the engine at 8000 RPMs, moves upwards of 8kg/s of coolant, increasingly through the radiator as the thermostat opens, which will immediatly begin to slow the temp rise of the coolant.
As far as all modern turbos being water cooled, from comments on this site I believe most turbo NSX owners are running oil cooled turbos. I certainly believe most of the kits sold are sold by "respectable" vendors/fabricators.