(And yes, I am aware that you can also register last.name by itself, but only if there are no third-level domains using it, so for practical purposes it doesn't change my question above. Plus, when the OP originally purchased his domain, you could only buy third-level domains for .name.)
1) benedict.cumberbatch.name
2) drstrange.co.uk
I expect the average person would assume that for the domain 1, .name is the TLD, cumberbatch.name is registered by a private entity, and benedict (and any other subdomains associated with cumberbatch.name) is a subdomain fully controlled by that private entity.
Whereas for domain 2, I think the average person will view ".co.uk" the same way they view ".com", even though technically it is both a ccTLD and a second-level domain.
Mine just has an animated llama telling me not to click suspicious links in emails
The only people who will make the assumptions you state are people who are tech-savvy enough to be familiar with those concepts, but not well-versed enough in them to understand the nuances we’re discussing.
And none of this does anything to advance the argument that .name is somehow nonstandard.