Does TLG own BrickLink?
Yes, TLG has acquired Bricklink. There have been multiple news, FAQ's and interviews posted with regards to a future of the website. You can read some of them on Bricklink as well as LEGO webpages. You can also read an interview with LEGO representative.
The footer on BL's webpage has been left as it was prior to acquisition. Perhaps there wasn't time to change it yet.