This very much.
My parents were very much of the "this is the right thing to do and we will push it even if it means you sticking out like a sore thumb" form of parenting.
I had a lovely group of friends who accepted that I didn't have/do certain things, and used this to kind of carve a niche for myself where people who did have them could come and wax lyrical and I would listen and ask questions. Made me quite popular in a quiet kind of way. My friends would often let me use/share, but it wasn't the same as having them.
But both my siblings who already had potential to struggle socially really found it a problem. It meant that they didn't have any experience or common ground to join in, they became very aware of this so withdrew more.
I don't think it would have made my siblings super social, or the most popular one in school, but it would have made life easier for them.
When I was at school, we didn't have mobiles, but we had the landline. I didn't know what homework/was stuck on homework, something had happened in school that hadn't gone well, we wanted to meet up after school/the weekend etc.
We phoned (after 6pm of course) and talked. Sometimes we had a round where A phoned B, B passed on the message to C, C to D and finally D to E.
And that worked well.
But not if A, B, C and D have a mobile and can send one text and sort it between them. Because they won't remember to phone E's landline - and why would they? They've sorted it out for the group, and they might remember to ask E tomorrow at school. But then E can't contact dm at school to say they're going to A's house tonight, because she hasn't got a phone, so there's no point them asking her anyway.
Yes, check the phone, set up parent controls and make sure things aren't going squiffy in there. But they learn to use them under supervision while they are young enough, which is much better (from experience of seeing dc's friends) than suddenly getting their own phone at 16yo and it all opening up to them.