I know it is likely on the forum somewhere... but in my search I was unable to find it. My question is; When you die to cabal guardians, do you still lose experience and if so, to which ones?

In the general case, you don't lose experience dying to any cabal guardian. There are special cases (e.g., you're wanted... assuming that still works the way I think it does) but they're irrespective of which cabal guardian or even mob it is.

This doesn't apply to inners, but you definitely lose "style points" for dying to cabal outers.