Yes, I can see uses for this. Forty-two is obviously not something you'd actually want, but I can see needing numbers in the range 0-100 and being frustrated that since I need 0 I can't carve out a niche even though I don't mind losing 101 through 255 from a u8 instead of making my type wider.
Still the existing tricks get a lot done for relatively little work. I have used Option<NonZeroUsize> to do roughly what I'd use a single integer for in C, but making explicit that zero isn't just zero, but "I dunno, invalid". Would I have done that even if it cost more space? Probably, but it was cool that I didn't even need to consider that, "Zero cost abstraction".