Double checking something about this: "even change their physical form into something they'd like better." + "They may not even be entirely themselves when they arrive"

I'm assuming this means that characters appear as they are in their own dominion, and that over the month it can change, while guests can appear as whatever from the start. Or would minor changes to the owner's appearance work as well- like say, Farrah's scaley finger tattoos covering his whole hands while in his dominion? With the scales spreading over the course of the month/as he focuses on it?