I my phone in the woods, I just don't like it as a phone. I love laying down at night and listening to some music under the stars, or if its nasty and rainy and I'm in the hammock at 630pm, I can read a book, watch a movie, or play a game. If someone said I had to "lock up my phone" before heading out, I think I would just hike the other way.
But - I'll give you the "staying connected" thing. I don't need to stay connected. As soon as I hit the trail, the phone goes on "plane mode", and usually its off and stuffed down in the pack in its custom carrying case (made by ziplock). People that text and talk whenever we are on top of a hill sort of drive me nuts, too. We're in the woods overnight, unless your kid is in the hospital or your house is on fire (which you can't do anything about anyway since it is an eight hour hike back), what is so important that it can't wait until we are driving out tomorrow?
My wife wants me to get one of those Delorme InReach things so we can text back and forth. I don't mind the tracking points or the messages from my end. "Reached Camp", or "heading out", or "Send the Choppers!". But dammed if I want her to be able to send the guilt trip messages she usually likes to pull on me. No thanks.