I'm curious - how much up-front coordination is mandated? Plenty of the interview loops I've done agree in advance to the exact set of questions we'll ask during an onsite specifically to avoid problems like this (which of course causes other problems...)
None is mandated.
It's incredibly rare (maybe 5%) to also be requested to put your question into a spreadsheet (that all the interviewers can see) to avoid any overlap pre-interview. Post-interview you have to submit what question you asked into the official (not a spreadsheet) tool.
These days, the actual process is confusing at best (and wildly inconsistent across interviewers, as it's dependent on what the recruiter sets up), so it shouldn't be surprising that it's rarely used if ever.
To be clear: I don't actually know what the rate is of candidates being asked to come back for an extra interview. My understanding is that it's always been a last-resort option, but it'd be one of the more common reasons if the candidate actually made it to the slate of "in-person" interviews, and then needed to come back for another one.