Regarding the Bitcointalk.rog ownership theymos clarified many times
You missed this one 
Domain name update. Next times, when you need to find Bitcointalk's important historical changes, you can start with my topic. If you find something I missed, please let me know for updates.
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So regarding the question, who pays for the bitcointalk.org domain? Of course the owner and that means Cobra should be paying for the domain name fee.
Should be theymos since 2020.