ANother anecdote from The Netherlands: when we go out to drink we go by bike so everyone can drink! Worst case scenario: you bike there and walk back again. You can't take a car with you when you're walking.
Personally, while drunk, I lose the ability to walk straight before I lose the ability to bike.
Here in the Netherlands during winter, bike paths are cleared/salted before most residential streets. That together with the sheer amount of bicycles keeps all mayor bike paths clear enough, though it does get slippery.
Personally, while drunk, I lose the ability to walk straight before I lose the ability to bike.