It became more pronounced in late 1990s when disks became more ubiquitous and the race for the lower price likely made them less reliable.
After that the idea of backing things up, no matter where they are recorded initially, feels very natural.
Still true.
That applies more for things like SQL databases and the like, more than personal files on disk. But yeah.... if you haven't tried to restore your database or other data repository from a backup file that you've squirreled away, then you effectively don't have a backup either.
Old floppies are also like lottery tickets in that sense.
The 3-2-1 backup rule: keep at least 3 copies of your data on at least 2 storage media, and keep at least 1 copy offsite.
Otherwise with new floppies I always reformatted and checked for bad blocks first. Some of the series were very bad quality.
Nervous times they were!