It takes a fair bit of know-how to properly manage aircraft systems, autopilot included. I wish I had an autopilot; all of my IMC flight has been hand flown, every last bit of it.
No question that you'd log it as PIC, not in my mind. Also no question that it will do a better job for the folks in the back on bigger iron.
My only autopilot misadventure was a bit alarming. I was flying a twin comanche and the servo aileron cable had somehow gotten wound into one of the pulleys and effectively jammed the controls up somewhat. It limited the right aileron to just a few degrees, maybe 5% of normal. I flew a big pattern to avoid any need for right correction and landed, but an engine failure would have been an extra bit of drama I am sure.