My dad and I have been burying fig trees since 1966. Nothing nearly as permanently established as your box setup though. We dig a trench each year (partially line it with cheap boards) and then dig around the root ball, wrap the top, and tip it over. Cover with a board and then put dirt back on top. It's too labor intensive a technique though, as we get older. We too dig down around the root ball to where the roots are soft and pliable. I've thought about making something more permanent like your box setup, but I've had such good success using potted trees now that I'm not sure I'll put in the effort to make a more permanent box. There was another guy on this forum a few years ago from northern NY state who had permanent "tunnels" that he used for burying trees. In any case, thanks for sharing your technique. I'm glad it's working well for you.
Mike central NY state, zone 5a