My thoughts . . .
- That is a big/heavy boat for a single engine, even a 7.4 . . . So, lots of load on the outdrive/engine.
- Being a 2001 . . . probably 310 HP and running the MEFI-3 controller

- I tend to agree maybe more the outdrive rather than the coupler. If it were the coupler, I'd expect it to fail more completely and quickly.
- The clutch is in the top of the drive, and if you are loosing gear oil, then the clutch could be burning/glazing.
I'd pull the drive and see what you discover . . .