technically the team name is Aston Martin Red Bull. They rebranded the engine to TAG Heuer but I doubt Honda would let them do it next season.Technically Aston Martin are a partner which i don't understand. Don't Just be a partner and put Aston Martin Engine in the back instead of Renault. It is just a major brand putting there partnership with a smaller brand. Why don't Scudaria Ferrari just ditch the Ferrari engine and put in a FIAT. This is the logical thinking why be Red Bull Renault when you can be Aston Martin and realy intimidate the boys in Marenello.
And no, this is not the logical thinking. The team is Ferrari and has always been, F1 helps a lot to sell the overpriced cars from the brand, there is no reason to rename it and the board of directors in FIAT is very aware of that probably.