Bitcoin Talk was founded by Satoshi but he stopped posting after December 13, 2010. Theymos is the owner now but who hosts Bitcoin Talk? Does Satoshi still run the hosting or does Theymos host it? If Theymos doesn't does he still have access to the server?
What is the reason for asking such a question. Anyway, I think as an admin Theymos might have access of the hosting. Also it is not mandatory to host as it can be paid from the payment method which was given while signed the host payment method.