The stricken passenger had the option of using the restroom, but for unknown reasons could not urinate. They stretched him out on a row of seats which seemed to help the pain, but from what I recall was unable to go until they reached the destination airport. The total trip time was about three hours.
Really? What happened before modern medicine? I'm not being snarky: I believe you.. but a burst bladder would be lethal without access to modern medical knowledge. That seems like a epic fail by evolution.
Alcohol is a double-whammy because it induces a degree of transient paresis, allowing the inebriated to hold it longer than they should. Just don't fight the urge and you'll be fine.
So just to confirm, you're saying that if (for example) I hold my pee for whatever reason, after a certain point, I might not be able to pee unless they catheterize my bladder?
Huh. According to the article that you linked to about the coat hanger, brandy, and rubber tube: 'The aircraft's medical kit is "quite well-equipped for having babies and people who develop urinary blockages..."'. In fact, it sounds like the tube they used to drain the lung was a catheter intended for urinary blockage. I wonder why they couldn't use such a catheter for this guy; did that kit not have one?
If it progressed to the point of a true medical emergency, I suspect the kit at least had the equipment necessary for a 'quick and dirty' suprapubic aspiration of the bladder (stick a longish needle in from the front, and use a syringe to pull fluid out).
Generally speaking, this is done with an ultrasound, but in a pinch, you could likely just palpate the bladder.