Since this seems to be a lottery to guess what happened and just like Butts, everyone's got an opinion, I'll offer mine.
I don't think he was pushing snow because there's none on the bridge deck. Also no leftover windrow of dirt/gravel.
Look at the powdered snow buildup on the back side of the blade. That usually develops doing snow at high rate of speed. Does not necessarily mean he was moving at high rate of speed when he approached the bridge, but guessing low speed fails to explain other things.
I don't think he was going fast at all. Maybe walking speed or a little above at best. I base that on the minimal damage to the machine, didn't even break off the front lights. I credit the cab being leaned back to the shape of the ditch it fell in and the idea that it went off the bridge rear tires first. If he had erroneously steered hard left it would have taken more of a nose dive. The bolts that were holding the railing on aren't bent over toward the forward end of the machine like they would be with forward momentum.
Look at the blade scrape on the edge of the bridge deck as well as how and where that scrape ends relative to the location of the machine. Now think about how that could occur had the rear wheels gone off the deck first.
The bridge railing appears to be wooden. By going off rear first the blade pushed the railing ahead of the machine and didn't even break a lot of the rail boards.
I think he drove the front tires onto the bridge with his left tire just missing the bridge marker sign at the approach with the grader tracking straight. Doing so to clear the right side railing with the blade. The front rear tandem tire would go onto the bridge about the same time as the right end of the blade. At the last second he thought he was going to hit the right railing and spontaneously twisted the rear steer to clear the marker. Or could have possibly mistakenly twisted the wrong joystick in an attempt to rotate the table.
When I drive the 140M here at snow plowing speeds, rear steer/articulation is not even a considered option for maintaining control. The only left hand movement my brain will consider is left/right movement of the stick for steering, it is very difficult to even raise/lower the left end of the blade slightly while steering, I have to be on a stretch where the machine can run straight as long as it takes to tweak the left end of the blade to make that happen. Maybe that is just me. Fine tuning the blade for me is best done by using the right thumb switch to roll/curl the blade up and down. If I were to find myself in a high speed emergency situation where articulation was attempted I doubt if the outcome would be good, to which you might say AHA see he went off the bridge, but then you have to explain that long blade scrape on the deck.
With a very weak railing design the bridge did nothing to deter the machine from driving off the concrete deck. Once the rear tires started off the edge there would be little that could be done to retrieve it. With his blade low to the ground it became a steel runner and contributed further to the rear of the machine taking a hard left turn.
Review the bridge deck edge blade scrape discussion earlier in the response
Someone commented about other operators having ran off the road. One time I was pushing snow and running about 14 mph. I came to a hard right turn on a narrow gravel road that was frozen solid. I had my moldboard turned to roll snow to the right. When I approached the curve and started my turn the front wheels started slipping. The locker was on. The machine only made a slight attempt to turn. Within a second I was doing a front wheels cramped, 14 mph slide, headed for the bank off the outside of the curve. A lot of things go thru your mind in that second and most of them are wrong. All I could make myself do was jam the blade into the roadbed, thinking it would stop me. What it actually did was lift the weight off the tires and I found myself skidding on a 14ft steel runner. I went off the road and down the bank stopping in a flat bean field. After I cleaned the seat I turned off the locker, lifted the blade and drove back up onto the roadbed. I was a lot more cautious the rest of that night.