I don't think that's true.
Some services on the internet are already made available through IPv6. Doesn't that mean their migration to IPv6 is done?
There are however some ISPs that seem to be dragging their feet. I recall I tried to deprecate IPv4 access to a personal project of mine and it was no longer reachable when I tried to access it from my home. Lookups from other points of the world could resolve the IP but not my little home network. I felt forced to continue paying the 2€ I paid for a IPv4 address just because of that.
Edit: to make it abundantly clear, I'm looking at you, Vodafone. You suck.