In what kind of situations is it socially awkward to not be on your phone? Genuine question, I'm not great with social stuff.
Related, if in a group, everybody else disengages to be engrossed in their phone, it can be helpful to do the same if one does not want to demonstrate a vulnerable dependency on the generosity of their attention.
A lot of awkwardness comes down to self-perception of vulnerability.
Though if everyone else is on their phone, and the crowd is large enough, I find it fascinating to people-watch.
I do find it useful to sometimes be absorbed in my phone and not aware of what's going on around me. Or at least to have that impression.