There is some truth to it. The operation they are talking about is rather low scale. I doubt US is getting any.
Some truth.
Kurds sell it to whomever is a “good” customer.
That wouldn’t include Turkey and it’s proxies though.
But in the NE, strange things happen.
Big accomplishment of holding the oil is keeping tankers from being used for smuggling terrorists and arms.
]Those tanker compartments have held a lot besides oil.
Assad wants a united Syria he needs merely be more generous to the Kurds.