If one doesn't think too deeply, that sounds reasonable, but I don't think there is actually much of a basis for it - a 2.5mm² unfused spur (or even a hypothetical 1.5mm² one, come to that!) is just as capable of supplying a 13A load as is the socket it's spurred from!
I personally agree (at least as a 'reasonable precaution') - but, as you will see from discussions in other threads, at least a few others don't seem to think this is an issue.
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