are you really? If you only notice that it's Bob's birthday because you get a FB reminder and the only form of communication is a post on their timeline once a year that's not a connection, that's like talking to your neighbor about the weather out of courtesy because it's awkward to say nothing at all.
The reason a lot of people miss out on life nowadays is not because they have too few connections but because they waste their time on fake ones. Life's short, instead of trying to warm up some high school friendship that's going nowhere, focus everything you have on the few people around you that matter. Cutting connections is as valuable a skill as making them, and an increasingly lost art.
But there's also lots of upsides. I guess I dont know one way or the other.