WI: British actually sink Goeben and Breslau?

Just finished reading The Guns of August by Barbara W. Tuchman and she was talking about the Pursuit of the Goeben and Breslau. Do you think Turkey/Ottoman Empire remains nuetral? How much would this effect the war/subsequent Middle Eastern history?
 
I suspect that Turkey will still enter the war at some point. However it may be at a later date than @. That may mean no Gallipoli Campaign and the RN may feel that it does not need to station any heavy units in the Eastern Mediterranean.
 
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