You assume correctly.If the second fuse were feeding a second CU in the same house, would you call it a looped supply? ... I'll assume you answer no.
Well it's not so much "my answer" as the issue that we';ve been discussing. In an attempt to get us closer to understanding each other, allow me to ask you a slight variant of your questions, namely ..If the second fuse were feeding a second CU in a different house, would you call it a looped supply? ... From your comments so far I'll assume you answer yes but I don't see a difference.
"If the second fuse holder contained a solid link, rather than a fuse, and were feeding a second CU in a different house via a DNO fuse (and a meter) in that second house, would you call it a looped supply?"
If your answer is 'yes' then it seems that, as I suggested, your distinction is purely on the basis of whether the fuse for the second house's supply is in the first house or the second house - is that your belief?
As a slight aside (and a further aid to clarification), do I take it that you would regard what I have here (well, my neighbour) as being a "looped supply"? Because the supply is overhead, there is no 'cutout' in the conventional sense, just three fuse carriers (and a small 'Henley' for the neutral). The two arrowed cables (from DNO side of the fuses) goes to 'the house next door' (which was once a part of what is now my house), where there is presumably a DNO fuse (and meter). Do you call that a "looped supply"? [note that the photo was taken before a meter-changer-man covered the exposed (red!) insulation of the incoming neutral with grey silicone ]...
Kind Regards, John