So you're saying in this game alone there is no difference between paid and patreon?
Perhaps not in this game as i havent gotten to play it yet, or this persons other games. However, going by things i already know both as a customer and previously a game dev on newgrounds that this is most likely what is happening.
TL;DR: No, but you get access to updates earlier, and unlike "but paid", patreon gives that for all katwhorm's games. (In theory)