I cant say if its the same problem, but its not unusual for internal floppy drives to have a broken switch that detects if a disk is write protected or not (in which case it'll always see it as write protected). My a1200 is like this also.
Really though there's very little, if any need to use a floppy drive these days. In the vast majority of cases a workaround can be used.
Perhaps try using a rad disk (or multiple rad disks) and copying the contects of any adf images you want to use to them (unadf on aminet is quite handy for this).