Just finished playing the game (and then listening to it for a couple more minutes). It is very funny, as the other commenters have said, and the narration goes well with the overall quirky aesthetic.
What I noticed, though, was that I could either focus on the narration OR the gameplay. When I was actually playing, I didn't register much of what was being said; conversely, when I was listening, I couldn't focus on the completing the level. Maybe I'm just bad at multitasking.
I wonder if the experience would feel a bit more holistic (and reflect the title more) if the narrative were more closely integrated with the level design. E.g., you could break down the voice over into smaller parts and use them to introduce the levels, which could be themed accordingly (golf in Ancient Egypt, hammer-golf in the USSR, etc.)
I also felt that, due to seemingly lacking a "par" mechanic, the game was missing a meaningful challenge, since the player not only has an unlimited number of hits, but, unlike actual golf, can attempt them at any time. Maybe this, too, could be addressed by using prerecorded remarks on the player's performance (or e.g., passive aggressive segues) after they beat a level.