I've ended up with three road bikes over the years that are stock and unmarked. They're all interesting to me but not unicorns. I tore one down and brought it back to it's original glory, then didn't want to ride it much as it was just too sweet. The other two are hanging up unrestored, as I know they'll end up not being ridden either. That's the curse of enjoying wrenching and restoring but also admiring nice ones as a work of art.
As long as one has a bike (or more) to enjoy riding day to day, having a beauty or two that's more of a pleasure to look at seems fine to me.