I've waffled on this a bit. I joined a new company about a year ago, and swore to myself I'd keep work email, slack, etc. off my phone. I eventually caved because my boss expected a certain amount of "presence", and being able to check in and respond from my phone meant I could enjoy my coffee in the morning, run errands, take a walk, or do whatever else without being chained to my laptop.

A better middle-ground might be to have a separate phone, so it's only with me if it has to be. Starting a new job with this setup soon, we'll see how it goes.