Well thank you for being so open about what you do with this game but sadly is not how the game works, the idea of TFOL is about how free and comfortable everyone feels with each other, sadly this game is not for everyone since this game is being developt by furries and in this community, homosexuality is pretty normal.
As for a skip cut scene mechanic, I don't know anything about since they haven't mention anything on patreon about it, right now currently you can only skip the plant minigame, not skip the cutscene but the whole mission.
Thought as you mentioned if you are only here to "beat your meat" and don't care about the story then I just recommned to use the cheat to unlock every scene and just focus on the male/female interaction only.
tried to make this answer the most friendly way possible, didn't mean to offend anyone. Cheers!