No it doesnt. Not only i personally not care about all the "be the first of your friends to like this post about deadly car crash", there is further no "infrastructure" that internet relies on when it comes to facebook. To me and billion other net users it could dissapear overnight and i would see or feel the difference, other than websites would get little bit cleaner. Google, on the other side feeds website owners with monetary gains by leasing space from them for adsense. If that would get shut down, i would assume many could not afford to continue with their websites.

And my grandparents would be quite happy to see the internet going down.

But that doesn't mean that billions of people don't rely on it.