-
Old and damaged is one thing but haven't lighting circuits been 5A for a very long time? BS546 is from 1934 and that had 5A fuses in distribution boards[1]. Not sure what came before?
Perhaps not double insulated though but that's not something any fuse will help with.
[1] I think, I can't find a reference at the moment. I have a recollection of an IET article but can only find ones about plugs at the moment.
I assume the flex is sized for a typical lighting circuit fuse or breaker of 5 or 6A anyway.