I think you need to rethink your thinking, don't you think?
Uhhhhhhh, Nope.
Like I said, some will disagree.
I have a good understanding of convection, and the taller the hive gets the more the heat will rise out the top, acting like a chimney, and pull cooler air up from the bottom, until the outside temps get above 95 degrees or so. Which means of course, this method would not work well in a tropical location.
I do have ventilated attic boxes on my hives also, to allow for more air volume to exhaust out the top, as well as provide a buffer from the direct radiant heat from the outer cover.
I performed side by side studies on my hives before completely changing over to this method of management. Colonies were of equal strength and volume, all consisting of a screened bottom board, and all hives had a remote temperature monitor. I installed my vented attics on the half in full sun. In every case, the hives without full sun did not produce as much honey, and they continued to beard and fan the entrance. The internal temperatures of the shaded hives still averaged 15 degrees warmer. The shaded colonies also seemed to be targeted by SHB moreso than the hives in full sun.
While keeping each colony in it's original location, I then switched the tops. The hives which were still bearding in the shade, suddenly went inside. The hives in full sun, now started to beard. This was enough proof for me.