The main PCB is likely mounted to the "top" of the enclosure. For the MIDI ports, I'd guess it's cheaper for them to use a small rear panel daughterboard and interconnects/flying wires.
For a box with that shallow of a slope, they might be able to mount the DIN jacks right on the main PCB and just trust that no one will notice/care about the small angle, but it's probably cheaper to use a daughterboard.
From there, having no visible screws to fasten the bottom/back to the top is no particular challenge. I search for a teardown photo and couldn't find one. You might look for a forum where that device is used and ask if anyone has teardown photos to be sure.