CD burners were never as convenient as floppies - you simply couldn't immediately save your work, eject and go. While CD burners had a role, what really killed the floppy were the USB sticks and broadband.
In the CD era a lot of people was still using 1.44Mb floppies because of convenience. Burning a disk was "midly" expensive and they could just burn it once, so they were used as bulk backups or bulk media/game sharing, such as pirated games and later, console ROMs.
