However, once we have a spur off the ring, we are expected to limit the current through the cable of that spur to less that the 'full rating' of the circuit, either by having only one socket (into which fused plugs will be inserted)
That would be the same, probably/definitely better, if limited to one 13A appliance.
Isn't a double socket, in effect, two spurs from one unfused point?
Just a few months ago, I would definitely have agreed. However, after a few protracted and 'robust' discussions here, I have learned that a fairly high proportion of people, maybe a majority, believe that a double socket is 'rated at' 13A
total maximum. In this context, I suppose that the regs are consistent with that. Since they require that a spur supplyig more than one socket be protected by a 13A (max) fuse, if they had considered that a double socket could/should be loaded beyond 13A (whether to 20A, 26A or whatever), they presumably would have limited an unfused spur to one
single socket.