Perhaps minimum loading after 10pm to help with driver availability and service providers providing a minimum of x vehicles per hour slot?
I think that really depends on the person, also drunk people are not anywhere known for their good planning and reasoning skills.
In Holland we're pretty accustomed to cycling home drunk, and drivers are pretty aware of hazardous bikers :) Especially because Taxis are unaffordable in the Netherlands.
I wonder if you also lose your pilot license :) Or the sailing one.
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.
When I'm out on the bike, not drunk at all, I'd rather cross paths with a hundred wildly inebriated cyclists than even just one moderately tipsy driver.
So many times we waved bye to the cops on the main square when stumbling out of the pub at 4am and swerving off on the bike. And all they would do is wish us a safe trip home.
It's just the 'done thing' over there. At least it was when I was at the partying age.
Low traffic intensity is a two-sided sword, it can lead to speeding and to inattentiveness. But those downsides are much less pronounced for cycling than for driving: for speed it's obvious (yet all of my scars from cycling drunk are purely from liking to go fast, nobody else involved), but the difference in terms of inattentiveness is even more pronounced: sitting out in the wind on a two-wheeler that almost but not quite balances itself is so much different from sitting in a comfy chair surrounded by entertainment electronics peeking out at the world through small windows and a set of mirrors that even the sober rarely use to is full potential.