All three times I've purchased or sold a house in New Mexico this is standard practice. I never directly asked, but when listing it sounded like bathrooms without a bathtub weren't allowed to be entered into MLS (the national realtor database) as a full bath.
How interesting. I've never encountered it in NY, but I found this site[0] which suggests that what you're describing is how it should be listed.
It would likely turn into a huge mess here if they started enforcing this. A house I previously owned would be reduced from 2.0 bathrooms to 1.75 bathrooms.
