My rafting buddy has Recretec frames on all his boats (2 rafts, 2 cats). All of his frames have the latch in dry boxes. He had them before I met him, which was 16 years ago, so they are not something new. They work really well. Drop the boxes in and secure the latch. No straps needed. His stuff has taken a beating over the years & the latches still work great. Recretec still makes the frames & boxes.
I use the dry boxes with the front and back hang tabs. When I used to row cats with an NRS yoke, I had Partner Steel off set the tabs on one of my boxes so it would sit level on the cross bar and slightly lower yoke bar. That worked nicely. I have seen people cut strap slots in the hang tabs in order to strap the dry box to the cross bar with short straps. That's another way to eliminate the straps over the top of the box. 4 straps to hold the box in. If you did this on the side it would only be 2 straps holding it in.