You're prioritizing course immersion though - I do to in simulators - many with simulators don't. Many with steering wheel setups prioritize immersion in racing games by being inside the car, but just as many with wheels prefer playing outside the car. An avatar on simulators wouldn't be unpopular for similar reasons - e.g. a better view of the hole lessening the dependence on flyovers, minimap & roaming.
Also third-person viewpoint can transport the player into the shoes of the avatar, avatar immersion. Makes people feel like they have a nice swing (JNPG), but can backfire if not (TGC's first avatar I swear would make my real golf worse if I played lots). There once was an extremely popular and effective screensaver of the perfect swing, designed to subliminally lock that tempo into the brain from repetition.
Pre-simulator days, I never liked real time swings on PG (even though IMO they're 100% on TGC's), because I feel intentionally basing power on backswing length is a recipe for disaster. Velocity at impact is what counts, not distance. No-one thinks about how far to press a brake pedal down when driving, nor do they look at the pedal. One should be able to do a real time swing just as well without looking at the avatar. Is an avatar really need to gauge power?