Compared to 5.25" and 8" floppy disks, the 3.5" weren’t very floppy. They didn’t bend that easily, were stiff compared to the older formats.
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Generally, the term floppy disk persisted, even though later style floppy disks have a rigid case around an internal floppy disk.
Where there people who refused to call 3.5" floppy disks floppy disks because they weren’t floppy enough?
My stepmom actually insisted on calling 3.5" floppies “hard drives,” because of the casing.
I’m not sure she ever got over that mistaken assumption before they eventually faded from use, lol.