Once again, the motto seems to be 'if you need to do it, then do it, just don't talk about it'.
Mini shells carry little or no identification, especially the Mk.1 & Mk.2 cars. There are many well-known Minis which have been re-shelled, 24PK for example, but there doesn't seem to be an issue with them.
24pk was reshelled into a genuine new shell from the factory. Rally cars if trashed shell wise get reshelled into factory line ones like with no ID