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But it’s not part of the circuit, it’s connecting the light itself to the circuit - if you get what I mean. The same way that your socket circuit could be 32A, but if you plug in a lamp, the lamp will have a 3A fuse, as the cable from plug to lamp will only need to carry the load to the lamp, not the load on the rest of the socket circuit.
Plenty of led light fittings have very thin and dubious quality copper that definitely wouldn’t carry 6A.
The fuse is there to protect the cable really, and even 0.5mm flex will carry 3A. Not sure of the benefit of using a 1A fuse.