After the BS1363 13A outlets become widely established, these adapters were quite common, because shaver outlets remainded as the 2-pin 5A type.

The contacts in many of these adapters are the same as those found in the regular 13A to 5A types, although it can't be guaranteed that this is the case with all of them.

A normal (BS1362) 13A cartridge fuse is physically larger than the 1A type you see in this adapter, and won't properly fit into the fuse clips. This smaller size fuse was is available in ratings only up to 5A.