I’m use this setup and I’ve to update and restart everytime I switch.
I normally work in windows but I’ve to restart to get to the mac os, update firmware then restart again in mac os to get it working.
Then again when I switch back to windows, its update firmware, then restart windows, only then will I get windows with a working blackmagic card.
It’s a bit awkward.
I use XSI software which is windows only and final cut pro which is mac only.