.name is still a weird edge case because of the naming rules. Whether or not all subdomains under doe.name belong to the same person depends solely on whether the first person registered "doe.name" (in which case they do) or "john.doe.name" (in which case they don't, and "doe.name" is excluded from purchase as a standalone domain).

I think the problem is that .co.uk, .gov.uk and so on are very well known in the UK.

The .name subdomain rules are not very well known anywhere.

The fact that multiple organizations need to keep a public list of known 3LDs proves it's the edge case, does it not?

"Here's a list of things that look like subdomains for you to treat as 3LDs instead of subdomains" sounds exactly like the solution to an edge case to me.

I can’t think of any prominent ones outside of country code domains.