Notwithstanding the advantages, disadvantages, and presumed confusion that will arise, I'm sure that if it were put to a vote, then the majority of refs would be "in favor" of this new tact---for the simple reason of more game$ to work on.
I conducted an informal poll of some campers (read as: asked 5 refs during a lunch break) and all of them said in one way or another they'd be good with it.

Personally, it's why I was thrilled to see most of the conference I work more to 3-person. More games to work, better coverage, how could I not like it?

4-man may happen in the NBA, but I don't think any of us have to worry about it in HS games.

*I agree: NFHS won't have this due to among other things, adding another budget line item for h.s. sports administrators to have to deal with + the extra cost. I mean to say: things usually reach a point of "diminishing returns".

So, at the risk of being naive, why exactly would you need any rotations or detailed mechanics at all? If you have 4 guys, why not just split the half-court into quarters, L1 has his side, L2 has his side, T1 his quarter, etc. If the ball is high back up a little, if not come down to C area, but still everyone has their quarter. If the ball is high and forces the T up, the L on that side can easily look through and get the middle. I'm sure there are some other details, but the basics seem straightforward. What am I missing?

Doubt we'll ever see this, the benefit just doesn't appear to be worth the cost.

Why not just go to 8 and make it where nobody runs at all?

I see the benefit of a third official. I'm just not sure that, for us anyway, there's any benefit at all to adding a 4th.

I'd prefer to see a 3rd in baseball or a 6th/7th in football before we do this.