itch.io

I think you are correct. However, I think in the case of that game, the connection to the "Furry" aesthetic is so strong that it supercedes any strict intention. If you took out Rambley tho, I wouldn't call it a furry game.
As for your game, that same "furry aesthetic" isn't quiiite as strong. So I would say you're mostly in the clear there.

completely respectable and understandable position to hold!

...indigo park is 100% a furry game tho. like if we're being real. (something like poppy playtime tho, probably not.)