Overflow incontinence happens when your bladder gets so full that the sphincters physically give way and you pee yourself. In other words the muscle would give before the bladder ruptures. I came across a thread about Tycho’s death on Reddit and virtually no one was calling bullshit on the story that he died of a burst bladder because he was embarrassed to go to the bathroom during a banquet.
I mean, a burst bladder is the currently-accepted cause of death. There were some suspicions that he was poisoned, but I believe they examined his remains multiple times and concluded that the burst bladder is the most likely explanation.
Now, whether that’s because he intentionally held it or had some other preexisting condition that caused his bladder to burst, may still be up for debate. But I’d have to imagine that if there were signs of any other causes, it would have been found in one of the exams they did. But the lack of any other medical evidence, combined with first-hand testimony, kinda only points to one reasonable explanation, which is that the story is true and his situation was a medical outlier.