This will be the my last post on the subject as I feel we are just going back and forth now.
I get the physics. I define the point of diminished returns where the extra effort or negatives outweighs the benefit. Yes, it is "good enough for me" and not "maximized." But to ugly up my tank with an overflow box to get that extra few percent of organics I'm missing isnt worth it to me. My tank, along with 99.99% of other reefkeepers, is perfectly succesful without coast-to-coast toothless overflows with BeanAnimal drains installed, despite you thinking this is clearly the only successful way to run a tank.
In fact your setup is not maximized either. Why stop at the back for the coast-to-coast overflow. Why not extend it all the way around the back and up the two sides to get even more skimming?! Or across the front of the tank too?! Or all that and a center overflow?! That would provide EVEN BETTER surface skimming.
So getting back to the original question, what are the drawbacks of no overflow box - I guess the scientific answer according to physics is that there is less surface skimming. Does it matter? In my opinion, no.
An overflow box also lets you run a herbie or beananimal style overflow which, admitedly, is quieter than my setup (in my opinion this is their only advantage). My setup is not loud but I have been told the other setups are silent. I chose visual asthetics over audible, so I can deal with a little water trickle noise to not have the overflow box taking up space in my tank.
:beer: