Cycling drunk probably involves a violation of the same laws that are managed by your driving license. So it’s somewhat like “since you can’t obey the license-free part of this law, we will not allow you the licensed privileges”.
The same law perhaps, but a lot less endangerment of others and a bit more endangerment of self.
Still not great but still a lot more responsible towards others IMO.
Regarding the endangerment though I would generally be very very cautious while cycling drunk. E.g. stopping at every crossroads to check if anything was coming even if nothing was. I never even had a near miss (at least as far as I can remember, to be fair my memory is a little vague :P )
One thing that was kinda surprising is that I seemed a lot better at cycling on icy roads somehow. I'd be more relaxed as sober I'm usually super worried about slipping and tend to overcorrect etc. I've fallen lots of times sober and only once while drunk.
I wonder if you also lose your pilot license :) Or the sailing one.