Can these pole wraps be layed flat, for example on cupboard doors with an inset area? I want a cottage look for my doors that I can do myself, thickness, heat & water safe most important.

Yes, Pole-Wrap can certainly can be laid flat, and is often used to resurface cupboard doors. The product is moisture resistant and is safe to use as any wood product would be regarding heat resistance. Pole-Wrap's product thickness is 5/32 inch.

Thank you for your question. These are able to lay flat so should be sufficient for the project in question. We would recommend looking up directions on how to cut and adhere them for the desired project.