Have you looked for a diagram of the Read system and cooling group? I’ll see if Alldata has one and post I believe your3.2 is like my xc90 3.2 with the water pump being driven by pins on the power steering pump. Repair and replace is about 3 hours book time. From your description it looks like the w...

The Thermostat is a known failure point for the 3.2 And because it has a mechanism that recirculates the coolant when the engine is cold it can fail and not flow coolant to the radiator. But the Thermostat is not the leak. If the Thermostat leaks the coolant will be on the Alternator and intake mani...

This link is discussing that hose

viewtopic.php?t=107618

Based on that information I would replace the hose and check the top side of the metal pipe to see if it is stained.

If the stain is only on the bottom then it is likely that the O ring inside the hose failed and that is the leak

Good luck

Paul