In answer to your question, the great majority of the competitions I attend are a lot more than 100 miles from where I live (which is in a rural area in the middle of nowhere). Yes, sometimes there is a long wait between rounds and I don't know whether I've been recalled during that time. (But I'm a pro-am dancer, remember, so by definition that means I'm really, really bad and usually I don't make the cut. But if my biggest problem during a day is that I've waited around a ballroom longer than I "needed" to, well, a lot of people would think I'm pretty lucky.)
I'll also admit that I'm not the smartest person on the block - so I don't understand your analogy between dancing and a play. Maybe dancing itself is "orderly", and maybe a play is "orderly" but I don't understand why the definiiton of an "orderly" competition. Some competition organizers deliberately stretch out the day in the hope that it will keep more people in the room spectating - they consider that "orderly". They run ALL the first rounds of waltz events from newcomer through open, and then subsequent waltz rounds from newcomer to open, and then all the finals of the waltz. Only then will they start the tango rounds. After tango, they might run the first rounds of the Am Champ or other multi-dance events. But they might not run the next round of Am Champ until a few more syllabus events are completed. If the program indicated that there would be a long, long wait between rounds, would you consider that OK? There IS order to it - maybe not to your taste. So would you still object to "bad" organization? I'm just trying to understand.
Also, I'm a bit confused by your reference to the Pro events and the implication that subsequent rounds have to be held within 20 minutes. I'm mainly familiar with NDCA rules, which state that 20 minutes is a minimum time between rounds for Pro and Am Champ events - the maximium is 60 minutes, but that can be extended under reasonably circumstances. (Art. III(D)(8). I acknowledge that it may very well be that you are basing your statement under the rules of a different organization.
This is quite obviously a big issue for you, and yes, you should discuss your objections with the organizer if you dislike the scheduling. But for me, well, I just don't find myself worked up about it - I'll pick a different battle to fight. I just watch the other dancers while I wait.