It’s hard to make such a blanket statement. It depends on the bochur, his needs, his environment, etc.
Sometimes, being so stringent can backfire. If all his friends are in constant contact with each other, but he is cut out from it by force, it can lead him to acquiring devices behind his parents back.
I personally know a young bochur in an out-of-town yeshiva who is the only one in his class whose parents don’t let him have a cellphone. This is asking for disaster.
All the bochurim in his class have flip phones that are fully kosher, and they must give it in to the dorm counselor for most of the week (they get it back for Erev Shabbos).
But this bochur bought a smartphone behind his parents back, and it’s completely unfiltered (r”l), and he uses it throughout the week without reporting it to the dorm counselor. Hanhola thinks that he’s always absent because he likes sleeping in, and his parents still think that he’s the safest bochur in his class from the internet.