Hi John, Yes I understand that argument and your advice seems very reasonable. The first supply feeds a 10amp fixed load and the second is just for display lamps in a fireplace. Hence I see no reason why your alternative solution would not work. I will supply the second FCU from the load side of the first FCU(10A fuse) and fit a 2amp fuse in the second FCU and then feed the lights in 1.5 mm T & E cable.
In one sense, that would technically only 'leave' you 8A for the first load - if potentially 2A (I know it's unlikley to be that much in practice) was being 'used up' by the second FCU - would that be enough. Is there any reason why you couldn't have a 13A fuse in the first FCU?
Also, as I and others said, if you wire the lights in even 1mm² cable, let alone 1.5mm², cable you could (as far as the cable was concerned) run it from the load side of the first FCU, and not need a second one (that assumes that your lights don't 'require' a 2A fuse.
Kind Regards, John