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?
The housing was kinda rigid but the disk itself was real flimsy, says I who have used many floppy disks. Plus, in French we used to say ‘disque’ or even ‘disquette’ (a small disk) which did not relate at all to their floppiness, so to speak.