Those that react get picked on. If they can't single out lack of clothes, or knowing current music, they dig at too fat, too thin, wears glasses, wrong hair colour, wrong accent, you name it. In short if you react you lose.
I am much less open to the having all the same things to fit in argument than I was when I started on the parenting journey.
There's a big personal preference there about whether or not you want your kids (or you yourself regret being or not being) involved heavily in the mainstream pop culture of your peers as children.
Experiencing more than just whatever is popular is important, but being very isolated can have effects as well. Whatever choices you make will have a strong impact, and there are very often not clear rights and wrongs.
Before being a parent I'd have inclined to agree with GP. The experience of seeing my kids progress, and their differing experience, through school leaves me believing it's nearly all down to personality. That of course is far harder for parents to influence. Course a kid with a sensitive disposition might well blame the lack of the right things as the reason to feel an outsider.
The one certainty is parenting ain't easy. :)
Sorry if my comment implied I had kids, I do not. But in terms of access I see a lot of other comments further below talking about downloading everything locally and serving it through plex, which seems like a solid idea.
They barely ever watch shows or play with the phones, and most the time just want to colour in, play with Lego, or play with toys. They use the phones maybe for an hour every 3 days or so (or if we're waiting at the Doctors office or on a road trip), and watch shows maybe half an hour to an hour each day (usually in evening when they're too tired to physically play and we're preparing dinner). YMMV of course.
I wonder if that robs them from the experience of ever being bored. And if that might influence them.
They're very imaginative, and we regularly find the eldest just sitting in a sunny spot in the room and "dreaming in the warm" as she calls it.
The only problem we struggle with as far as technology is that a lot of her friends already have unlimited access to TV and talk about shows she's never heard of because we don't watch (or have) TV. We purely do Netflix/Stan and YouTube, so she gets a bit upset not knowing what they're going on about, but she's starting to understand that everyone has different things they do.