I am already slowly inching toward this, I removed Internet access from my home, and don't use any smartphone applications at all.

I have not seen any adverse effect on my life/productivity from doing this, people overestimate the amount that they actually need these services. In reality they mostly amount to useless appendages. Especially in an era with free wifi nearly everywhere, being on grid/off grid is as simple as whipping a laptop out of my bag and turning it on.

Persistent connectivity is not a need.