My phone is on silent, not linked to other tech, and only gets used for the occasional map or photo. I'm not particularly important, and the people who seem to think they need me to do things urgently (work) will be just fine for a few hours (or even days). My phone does not have service on large portions of my rides, so there's that as well.
The only exceptions are if there are serious family things going on, though in those cases, I usually don't get a long ride anyhow. I'll also sometimes text my SO when I get back in service if there's been a mechanical or some serious delay so he knows I'm not dead.