The old, and indeed the current, British regulations are a bit fixated on the notion that appliances MUST be protected by quite low rated fuses to prevent fire due to spontaneous combustion of cables.
This led to a situation in the old BS546 system (the old round-pin British plugs) where small appliances, with thin cords e.g. radios, lamps etc had 2 or 5 amp plugs which were connected to socket outlets that were on 2 or 5 amp circuits and so on. Each plug was incompatible with every other socket, preventing someone from 'accidentally' plugging a 5amp appliance into a 15A circuit and so on.
The practice elsewhere was to assume that appliances could survive a 15 or 16Amp fault without major problems.
BS1363 basically allowed the rigid British over-current protection methodology to continue in an era where people needed more than one socket outlet per circuit.
i.e. each appliance is individually fused by the plug, and the fuse is rated appropriately for each situation i.e. 1 to 13amps
The reality however is that people tend to fit a 13amp fuse regardless. So, it's not a heck of a lot safer than a 16A radial system.