Is Core PCE the Best Measure of Inflation?

Inflation is a hard one to think about the constants. I'm trying to remember, was it Bernanke or Greenspan that liked the GDP deflator as their inflation manager? I don't remember which. If used car prices and shelter are coming down, if they come down, everything else could stay four to five - you still get in the mid to high twos. So meaning it's pretty, it'd be pretty hard for us not to have seen the peak.