The UK and France will desire a minimum of a neutral Ottoman Empire rather than outright ignoring it. If it is certain that the Ottomans fall to the German sphere then I'd expect their support to move to Bulgaria and Greece. Bulgaria had the large Army while Greece had the Navy.
This is what I would expect if your scenario was reality rather than an alternate scenario. But I am curious how your TL will develop.
A Greek-Ottoman entente is actually not out of the question at this point. The Greeks had two major concerns at the time:
1. The status of Greeks within the empire, CUP had initiated a boycott against Greek businesses in 1911 and were also impounding Greek merchant ships. Athens to put it mildly was NOT amused.
2. Recognition of Cretan union with Greece. This or rather CUP threats to invade Greece over it were the approximate cause of the Goudi revolt in 1909 and then one of the main reasons Greece allied with Bulgaria.
The first is directly CUP related, if the Ottoman remain democratic (a very big if given what happened in the 1912 elections but never mind) and Greek rights within the empire are respected, that's solved, we are coming right after several years of a Greek- Ottoman rapprochement, alliance proposals even proposals of a dual monarchy by the more enthusiastic. The second... Crete for every practical reason is under Greek control already. A compromise should be possible. Actually when the Balkan war was about to begin the Ottomans offered Greece union with Crete in addition to Epirus and border changes in Macedonia. But by then it was too late for a deal.