Update:
Installed the new fan motor and now have a working fan. The fan comes on when the A/C is turned on. It would turn off when switched off (less than ~220 or so). If engine temp sender reads higher than ~220 or so the fan will stay on.
Initially when testing to see when the fan would come on without the A/C on I couldn't get the engine temp high enough while idling (Ambient air temp 71F). What I did was run the engine until the engine temp was normal then turned off the engine and let it heat soak for several minutes.
Then I turned the key to the 'On' position (engine off/no A/C) and the fan did kick on. Awesome! I then started the engine and waited & watched the fan. As the dash gauge dropped to 200 or so the fan continued to run (no A/C). I believe the reading between the dash gauge sensor and the RH manifold sensor differ. The fan will stay on until the RH sensor dictates when to turn off fan.
Key off and the fan shuts off.
So yes to confirm this fans purpose is to aid in moving air into the A/C condenser then onto the radiator/clutch fan during idle and/or slow speed situations.