The owner of yyy.name is the .name registry. That's just how they work. The intention was that people register first.last.name, and that multiple people could register under the same last.name.
Sounds like the tech support agent and supervisor got it basically right.
I'm sure they could if they wanted to. Gandi will happily do it for $15/year. I can only assume they've decided it's not worth their time to do so.