Hi! So I have still no idea of what this thing is supposed to be, but I tried out for fun three designs with it. There were so many suggestions it was hard to choose from, but I finally went with an animal theme : a bunny (the seller's take on it), a weasel (my own take on the cutter) and a goat (the most popular opinion). Here are the results (I had several issues with the set, so they are not great in their execution, but the designs were fun to think out!) :
If anyone wants to play the game, let me know and I'll email you the cutter template!