When Fatheads (fatheads.com) first came out, I believe they were only offering contour cut movable adhesive wall decals. Their hook was that they had licensing for all of the major sporting league logos and players. Since then the term fathead has turned into a generic term for all contour cut removable decals as well as the contour cut rigid
signs like you are talking about, and no longer just a reference to the specific name brand. Kinda like how Photoshop has become the default term for photo editing and Bandaid has become the default term for adhesive bandages. I believe what the OP is looking for is advice on contour cut movable wall graphics materials using their latex printer.
Edited to add to OP: We've used Briteline IM3202 from Grimco once since we've transitioned to our 315 Latex. It prints and cuts nicely, but I cannot speak to its reusability as of yet. The one job we did was just for temporary use to be disposed of by the customer after the promotion was over.