You're right. My brain 'took in' your mention of "fused Shuko sockets" to be saying "fused Shuko plugs". My apologies. However, I don't think that materially alters what I wrote, for two reasons:
1... I would guess/estimate that there are probably at least a billion BS1363 sockets (and plugs) in service in the UK, and to change all them would, at least in my opinion, be essentially an 'unthinkable' (and very expensive) exercise which, apart from anything else would result in a period of many years or decades during which a mixture were in service - what type of plugs, I wonder, would be factory-fitted to all the electrical items sold in the UK during those 'mixture' years/decades?
2... As I've said, it seems that thermal damage to BS1363 plugs and sockets is related to connections to the fuse. Moving the fuse from plug to socket would not necessarily alter that - so, as I said, one would need to be careful to ensure that one was not moving 'from frying pan into fire'!