Inside a 3.5" floppy hard-shell is a floppy disk that's made of the same (or very similar) floppy material that a 5.25" and 8" floppy is made of. So I think the term is OK.
[Edit] there used to be a website, similar to bash.org, that people would submit stories like this all the time of stupid shit they were running into as a tech. Dont recall what it was. There was also and admin site, they may have been the same.
https://www.youtube.com/watch?v=jxt5A0KJ9nw [Early CD-ROM Drives: Why Did They Require a Caddy?]