Am I correct that with minimum stays if I set a date with a higher minimum stay, that specific date cannot be booked unless it at least is shouldered by the appropriate number of days set as a minimum and that the greater number supersedes lower minimum stays?
That would make sense, wouldn't it?
Unfortunately, no, that's not how it works. :-( The min nights for a given stay is set by whatever the min nights setting is on the *first* night - that is, the arrival day.
This is how the channels do it. For years OwnerRez did it the way you described, but it turned out to be just too confusing to work differently from everyone else.