Putin has teamed up with Erdogan, Turkey is the biggest supporter of the FSA, if one is saying Erdogan is a supporter of Jihadists, Putin has enabled Erodgan and these Jihadists as well.
Putey has given Erdogan the go-ahead to keep Manbij in return for Assad to keep the central plain. Turkey wants no free Kurdistan because if that happens then the eastern one-third of Turkey goes into this new state (similar to the condition of Serbia versus Austro-Hungarian controlled Serb areas in 1914.