Where there people in the 1980's who refused to call 3.5" floppy disks floppy disks?

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?

Floppy disk - Wikipedia

They were floppy inside
Yar. The actual disk itself was indeed floppy. The cartridge is not the disk.