The Sony Shed or GV for that matter will NOT work!! BMD has it's own fault check system to check the line. And if something doesn't add up as they expect it wont start up at all!! But connecting a Sony or GV Shed could easily blow up your Camera fiber converter. SO DONT!!
So looking at your diagram this could be done in a different way to be honest with you!!
Instead of a SHED create a small 19" rack and add the Fiber base stations for BMD cameras in it.
Then have a few BMD Miniconverter 12G fiber to go to your MTP. Or even nicer pick a Fiber muxer system to run on a 2 core fiber.
Tally can be inserted by the BMD SDI Shield. ( I have a topic here with the code that will get you PGM and PRV tally insertion from GPIO )
The BMD intercom system is nothing more then embedded audio on channels 15-16 for Director intercom and channels 13-14 for Engineering intercom.
So you could run an audio embedder to push intercom from your matrix into your PGM signal from your other vision mixer.. Or run the PGM from your other vision mixer trough the TVS HD and use it's microphone input to insert director intercom into the sdi signal.
Then this will be carried trough the SDI signal trough fiber to the ""shed"" where it gets distributed into your SMPTE fiber system.
it's about how we do it with our 4K OBV.. We have fiber muxers that concat multiple 12G-sdi + network + other signals onto a pair of fiber. And have 2 "stage" racks which have 1 Muxer + a 4 channel SMPTE basestation + PoE network switch and a few other bits of gear..
These boxes are placed 1 on stage and 1 on FOH.. And from both we run a 2 core fiber up to 5km to the OBV. So it's much more then only a shed. but it gives so much more possibilities as we are able to connect multiple intercom packs on both racks. Have multiple SDI in + out at each rack. Even send MV outputs back into the fibers to "monitor" signals at the racks.. And have router panels on both to route different signals into outputs of the fiber muxers.. So we basically run 12 cams in full 4K on 2 fiber cables
( And yes we often have a spare fiber next to each one just in case..
)
But quite frankly i would look into different SMPTE fiber system at all if you want to go this far..