I think a lot of people will empathise with this. Modern life and communications basically assume you always have a mobile phone.
Without it and I have experienced that too when I had a phone problem it can be difficult to live life the way most of us are accustomed too nowadays.
That said I think there is something to be said for deliberately disconnecting sometimes. I have to get my eyes tested because I'm diabetic on a regular basis.
When they dilate your pupils your vision becomes very blurred for several hours so you can't read anything close up.
This forces you to stop using technology particularly your phone and I must admit initially it is tough but after an hour or so the relaxation and lack of stress I feel is great!
Of course when the effect wears off I'm back to the same ways lol:)
You are absolutely right. It's so often the feeling I am missing out on something, even though I can't quite articulate what that something is all the time. I like your ideas of disconnecting though, hoping to do more of that in the future.