Do any MFT cameras have PDAF or "Hybrid" AF?

"So why for heaven's sake should one use the C-AF for a static subject?"

Ever shot a baseball game? Lots of standing around (static object) before the action starts.

" that's not the supposed purpose, isn't it?"

I leave my D700 on AF-C just about all the time. When you have good AFC there is little need to switch back and forth.

"By the way, even a DSLR C-AF will start huntuing as soon als you move the slightest bit."

Not like CDAF. The only way CDAF can confirm focus is by hunting. When PDAF is in focus the system knows it directly. It doesn't have to keep hunting to both sides to check for max contrast.
Take that baseball player standing in one place and when he quickly turns(same focal distance) CDAF has to reaquire/hunt trying to deal with the loss of contrast, PDAF doesn't act like that.

"And as the CDAF is more precise than the PDAF... there you are. "

Sometimes it is more precise, sometimes it isn't. Shooting moving objects my D700 PDAF is far more precise than the OMD. And that is with lenses on the D700 that have much less DOF. Shooting something like a candle in low light my D700 got the shot. CDAF couldn't do it as misfocusing was causing flare which had hard edges (higher contrast) and it was thinking it was locked on.

Shawn