I think privacy comes apart, when money is involved. I saw this happening on this forum when Ripple was introduced. People only had to link with their Facebook account to get some FREE Ripple in the beginning. This immediately compromised most of these people and their account was linked to their real identity.
I missed out on the Ripple giveaway, but I got some Stellar Lumens last year. The trick is to be conscious about your privacy all the time: it was very easy to create a fake Facebook account, you can even use Tor (on the beautiful address facebookcorewwwi.onion). I've tested it, and it worked.
Once you neglect your privacy, it's gone forever. That's why it doesn't hurt to have some accounts without your real name ready, and a spare prepaid phone number for verifications.
Having a fake Facebook account ready is a good idea.
Exposing your real Facebook account to a giveaway and linking it to cryptocurrencies may even be dangerous, as you can become a target online.