Closed. Wont fix.
.co.uk wouldn't have the same problem because everyone knows that combo is a TLD in and of itself. with a seemingly infinite possible combinations of blah.name that could be a TLD itself, or, might just be a subdomain of .name, it gets really weird
Verisign claimed approximately 22,000 third level domains [1] in July 2026. I don't see an estimate of the number of shared second level domains, but it's finite. The current public suffix list includes 10414 names [2]; so at maximum, the list would approximately triple in size --- not ideal, but feasible.
Edit: another post [3] claims approximately 2000 second levels names with multiple registrations; that's only a 20% increase in size for the existing list, which is again a lot, but feasible. There's some more specific data in an issue for the suffix list [4], that shows there were nine second level domains with multiple registered names underneath them, one of which might all be the same registrant (domain.name)...
Nine would be totally doable, if the request came from Verisign...
[1] https://itp.cdn.icann.org/en/files/consensus-policies/fessen...
[2] including some with wildcards, re: your other post
Verisign could have published a list of every third level registration, it wasn't an impossible problem to solve, but it is different than static regional TLDs like .co.uk or .<state>.us