Just out of curiosity, with your thought above, where do you draw the line? Can the OP have 15 cables coming from a single point in the RFC going to a single/double socket?
I might draw the line at the capacity of a junction box (by that I mean limited by the number of cables that can safely be terminated in it taking into account proper cable restraint and available terminal capacity).
Exceeding the capacity of the junction box makes it a fire risk.
In this instance, the OP doesn't appear to have breached the capacity of the junction box as the box in use will safely accommodate 4 cables of the correct size. If he'd squeezed three spurs in there, I'd be telling him he'd been stupid and should fix it.
There is also a consideration about the expected loading. If you did it in a kitchen and each spur was going to an appliance (dishwasher, washing machine, tumble drier for example), it would be a crazy thing to do as you'd be concentrating a lot of load in one place. In this case it's for a bedside table, so a lamp, alarm clock and maybe the occasional vacuum cleaner.
But if connecting multiple spurs to a single point on a ring final is against the regs, there will surely be regulation that precludes it.
So 15 no, two yes, 3 or more and I think I'd be looking to put the new socket outlets on the ring.