The Fed looks at Core CPI (as well as a bunch of other things), I've never, ever, ever denied that.
I seemed to remember hearing that Greenspan liked looking at PCE, not sure if I read that Bernanke liked it or not.
You claimed that PCE excluded volatile items. Your link didn't prove that claim.
I think we’re beating a weary horse over the PCE and core inflation. Can we agree that the Fed doesn’t EXCLUSIVELY use only measures that include food and fuel?