Actually, at most high school tournaments the head coach is furnished a bout list at the beginning of each round.
I do not believe you have been to most high school tournaments!
The Augusta, Douglass, Chanute, etc. High School Tournaments have approximately sixteen teams and the first round bout list is only a few pages.
Our Kids State Tournament has many more teams and many more first round bouts. A first round bout list, while not a bad idea, would be a small booklet.
The congestion on the floor is already difficult to navigate and with the line forming prior to each round for coaches to receive a bout list would be unmanageable.
Comparing the vast majority of high school invitational tournament tournaments to our State Championship Tournament is similar to comparing grapes to watermelons.