I've been struck by some of the Japanese and Korean artisans using very thin leathers such as Crispe, Togo and shrunken calf, I even bought some Alran French Chevre goatskin which I've seen used as well. What bothered me was (apart from the import duty) was that the goat skin doesn't edge well using a hot creaser, it's thicker than expected and spongy. I can't see this being used as a body, pockets and liner without resulting in a "normal"-thick wallet...nothing like the sleek wallets of these Japanese makers. It could simply be that the videos and photographs are "misleading" and giving the appearance of much thinner materials? The image below is of a Crispe leather wallet.
This is Goat creased by me. Mid Temp, a bit of pressure
One of the thing to consider is what do you have underneath your piece of leather? If you are creasing a single layer of goatskin, there is a good chance that the guide of the creaser is touching your paring stone/hard surface that you have underneath. And is limiting the amount to which the crease is pressing down on the skin.
If that is the case, you have got 2 solutions:
1- Bring the edge you want to crease to the edge of the stone/surface you have underneath so that the creaser's guide will glide along both the edge of your leather piece and the support underneath.
2- Use a piece of firm leather underneath my skins. When creasing a thin piece, the creaser's guide will actually crease the leather beneath and allow for the creasing tip to go down deeper into your goatskin.