I think it's ok if it makes you happy.
But don't do what I've seen a few years ago some guy badged a white gtst a gtr trying to sell it as a real gtr even when the Vin plate said gtst.
He put a rb26 in it but keep the RWD system
so if you ever try selling you could re-badge gtst or advise the new owner to be, of what you have done.
Just some courtesy