Crypto in this case does mean cryptographic currency, and it is indeed part of an Cypherpunks wet dream, which is a movement since the 80s to 90s[0][1], and Bitcoin was largely enabled by people of this movement[2][3]. They basically strive to build society with cryptographic methods.

Cyberpunk on the other hand is just a science-fiction genre, which mostly play in futuristic orwellian dystopias and people like to draw comparisons to them.

[0] https://www.activism.net/cypherpunk/crypto-anarchy.html [1] https://www.chaum.com/ecash/ [2] http://www.weidai.com/bmoney.txt [3] http://unenumerated.blogspot.com/2005/12/bit-gold.html