To summarize for any who didn't watch -- The real take-home from this is leave room as it gives you more time to react and be seen, as well as if you cannot see the left-turning car, it definitely cannot see you (so position yourself in your lane where you can see what is truly going on around you vs riding blind).
I think I started doing what is depicted in the video within the first 2-3 trips out on public roads with the bike after my course. In fact, I also do it from time to time to both check and see what's further down the road (if I have a large vehicle in front of me), to 'shake' anything from the blind spots where the mirrors don't reach well, and pretty much every time I come up to an intersection where there is a vehicle in front of me (especially larger ones, like trucks, vans, SUVs, etc).
With that said, I do find it funny that the MSF et all would say he is in the wrong tire track, as his blocking position is the inside of that lane, not the outside. Arguably, this is one reason NOT to follow what some courses/instructors might say, and whatever logically makes you more visible (and gives you a clearer view of the road) is the right thing to do.