When the differential is locked, it gains some additional stability. Actually more than I expected on beforehand.
I did block the output until the input motor fully stops, this can be seen from 1:03 in the video.
But you're correct, I wouldn't count on high torque put to the 8z/diff without the lock in place (that's 2 out of 8 configurations), that's indeed the weakest spot.
Finally, as a trade-off, you can also leave-out the differential lock and fully support the diff itself to overcome this weakness.