On what basis are you saying that? Why wouldn't the Brits themselves then control what information they gave to Putin?
The fact that Obama--in his neo-anti-colonial feeling*--has strained our relationship with the UK worse than anyone since say, James Madison in the War of 1812, would have me suspect otherwise...
*That's FEELING, NOT thinking...
Admittedly no proof, and uhbummer is that low...But I still have to wonder..