What if the Entente seek everything the got in Sykes picot sazonov and then told the Germans, Austrians and Italians they could divvy up the leftovers, which are basically Western Asia Minor, south of the straits?
A world war.
So, during the 1st Balkan War many higher ups in all the great powers where concerned that the ottoman Empire would collapse, particularly if the Bulgarians took Constantinople, and laid out plans for what they wanted in the event of a partition. In Spring of 1913 the Russian mobilized their army in Eastern Anatolia, ready to invade Ottoman Armenia. So the scenario you propose is not wholly unlikely, but what is impossible is only the Entente getting the all the good stuff.
The thing is, the Germans had become VERY involved in the Ottoman Empire in the preceding years. They had recently sent a military mission to help train the Ottoman Army. Deutsche Bank had obtained the huge Baghdad Railway concession. They controlled a massive amount of the Ottoman national debt. A German sphere of influence was already clearly developing in Mesopotamia and Adana by 1912. The Kaiser sent a squadron of ships to the Mediterranean in 1913 to assert German interests. You really think the Germans would sit by and let other powers take control of a region they have huge investments in?
"We must play close attention that partition does not happen without us. I will take Mesopotamia, Alexandretta, and Mersin. The sensible Turks are already awaiting this fate patiently." - Kaiser Wilhelm II, 1913 (yes he actually said this)
In the Event of Partition, the Germans would demand the area straddling the Red line (which is the DB railway concession), and if they could, Basra and the area around the blue line too (earlier section of the railroad). Now this "blue area" is part of West Asia Minor, but they don't care about Western Asia Minor in the slightest if they can't get the regions around the red line. Mesopotamia and Adana is what is most important to them.
If they don't get this, they won't support the partition, and will conclude an alliance with the ottomans (Austria-Hungry too), starting a European war.