I don’t know of ANY brand of VFD that would REQUIRE an ungrounded source, in fact in my experience it is exactly the opposite. Most require a solidly grounded source, a few can be modified to ALLOW for an ungrounded source, but recommend against it. So if you are seeing someone purposely eliminate a ground on the source to a VFD, they are looking for trouble. There is ZERO value in doing so.
" We are all here on earth to help others; what on earth the others are here for I don't know." -- W. H. Auden