“Bikes generally have wet clutches,...”
That’s true, but I think a Harley has a dry clutch. The transmission is separate from the engine, kind of like a car (a front wheel drive car, but with the engine crankshaft 90 degrees off from the wheel axles).
Sportsters have wet clutches. I do not know about others.
The clutch on HDs are wet and located in the primary chain case, which is separated from the transmission oil and engine oil. (No friction material will contaminate the other oils.)
Only the early Harleys and the belt-primary bikes had true dry clutches. The later bikes, and chain primaries from about 84 onward use wet clutches.