Yes, I carry a CP, and very occasionally get a call
I sometimes carry a CP but it is NEVER on. I have it only in case of emergencies and have to get someone to pick me up. I have used it twice when I was having wheel trouble and could not fix it on the road. The phone saved me from 2 very long walks.
That being said - I would never leave the phone on while I ride. The purpose of my bike ride is not only to recharge my body, but my mind and soul as well. To that end I must feel removed from all the day to day hassles. I don’t even allow my mind to think about that stuff when I’m on the bike. This is what makes my rides seem like small vacations. If I didn’t do that it would not be worth riding.