Dorman even offered a round pin version of the fused plug for a time. The live pin forming the fuse, which in use could unscrew leaving the fuse in the socket and still live.
They were the standard plug & socket in the local shipyard when I were an apprentice <cough> decades ago. We called them "D&S" - Dorman Smith ? The idea being that since they were an "oddball" and not fitted anywhere else, little incentive to nick the plugs. I recall being told to use insulated pliers if anyone had a "live pin" come out in the socket - especially in an unswitched socket
It was also said that half the houses in Barrow were fitted with D&S sockets
At uni, some of the colleges had 5A sockets under the refectory tables. The 5A plug needs a much smaller hole than a 13A plug. Depending on the occasion, they could either use electric lights (plug & flex down the hole, light fitting seats in hole); or just slot a candle holder into the hole where candle lighting is desired.
In our college rooms, we had one or two 13A sockets which were on a metered power circuit (along with the lecky fire), and some 2A sockets on the lighting circuit that wasn't metered. The local Woolies sold many 2A plugs, and there was a trade in outgoing students selling them on to freshers. I even found a little immersion heater, 500W rating, designed for boiling a single cup of water - any chance to keep the lecky bill down
When my parents moved into their previous house, many of the socket plates had one 13A socket, and 2off 2A sockets protected by a fuse. Given that when it was built, the most common load would have been lighting, it meant more usable outlets than you'd get fitting double 13A sockets.
That's still a valid thing to consider. There are 5A, and to a lesser extent 2A, sockets that take up less space than a normal single accessory plate - so an opportunity to provide a number of sockets for lighting without having the "wall of sockets" effect you'd get with 13A sockets.