Correct, however the cooling system is all about getting the water out of the hot engine as quickly as possible. The sooner the thermostat opens, the sooner that water is on its way out and into the radiator so the radiator can do its job. The sooner you get the water into the radiator, the sooner the radiator can cool it off
Correct BUT after the temp the thermostat is fully open it makes no difference. So if it took 2 minutes to get to 160 vs 3 minutes to 185, at minute 4 it is 195 and both thermostats are fully open