The connection via Facebook is so trivial and transient but it is better than no connection to people I'd have no contact with otherwise.
The people I email photos too will probably look at them a few times and may want to print them and will send an email response. Via FB it's all seen and then forgotten in 30s
For me to send a birthday card to my friends I have a reminder that goes off a week before their birthday so that I find the time to go out get a relevant card. Then writing something of purpose inside the card and sending it with enough time to get there. So it's a week's worth of remembering their birthday vs the 30s that occurs in FB before reading all the other news.
So not worthless, but certainly worth less, to almost zero.