As someone who tries to stay off their phone in social situations I'd stay that yes, this applies to people the age of my parents aswell but not exclusively. Almost everyone is like this. A ton of people seem to think they can keep up a conversation while doing stuff on their phones. I've yet to meet anyone who actually can.
If I'm having a conversation with someone and they start looking at their phone while I'm talking, I just stop talking and stare at them. More than a few times I've been told "keep going I'm listening" I don't, I just let them finish and only start talking again when the set the phone down.
It's very passive aggressive but it does make the other person feel a bit uncomfortable.
Yeah I often do the same thing. I also don't start talking to anyone whose on their phone already. The way I see it is that a person staring at their phone could aswell be in a different room.
I like to get it out to check something we're talking about, like "I would like to see X live again" -> "maybe there's a concert soon?" but otherwise it stays in my pocket