The fan is set to come on if coolant reaches 212F, so you are close. It would turn off at 202F. From RAVE in workshop manual:
Electric cooling fan switching points:
For A/C system:
⇒ On When vehicle speed is 50 mph (80 km/h) or less and ambient
temperature is 28 °C (82 °F) or more
⇒ Off When vehicle speed increases to (62.5 mph (100 km/h) or ambient
temperature decreases to 25 °C (77 °F)
For engine cooling during normal running:
⇒ On 100 °C (212 °F)
⇒ Off 94.5 °C (202 °F)
For engine cooling at ignition off (to counteract heat
soak):
⇒ On If, within 10 seconds of ignition off, intake air temperature is 60 °C (140
°F) or more and engine coolant temperature is 110 °C (230 °F) or more
⇒ Off After 10 minutes or if engine coolant temperature decreases to 100 °C
(212 °F)
You are correct than many times the pump and the fan clutch hold hands as they jump off the cliff....
If you have hose off to the thermostat inspect for any of the little holes in the top leg being clogged.
Be sure you end up with belt route correct, cupped side of blades toward engine, all radiators and condensers free of mud clogging the fins, trash, etc.