Here I continue from the
discussion here, as it was drifting a bit off-topic for that picture there...
@FSB: But the fuse is only to protect the cord and it's connectors, not the appliance itself. So the advantage of using low current fuses is just the possibility to use really thin cord (below 0.5mm^2 or 0.5mm^2 for up to 5A with up to 8A fuse) for an appliance not requiring as high current.
But the insulation has to be thick anyway, so that advantage is rather marginal.
Normally, even the 0.5mm^2 cord is well protected against a short circuit by the B16A breaker normally used for the sockets
What could be a bit more of an advantage is the possibility to connect two high current (up to the 13A) appliances on one place and use them at the same time, as the feed circuit breaker could be 32A. With systems without the fuses in sockets (so using the B16A breakers) you will have to wire two branches with separate breaker for each of them. But that is not as common, usually you do not need them at the same time (e.g. a washer and dryer most likely won't be operated both at the same time).