Ox
What you may be missing is that the stinger dolly has a tongue on it that gets chained side to side and keeps the thing reasonably on track. These chains hold the tongue up as well as side to side, and that works with the weight transfer to reduce the load on the dolly axles so they can make weight. Not as big of an issue with a single, but with a twin engine it is. The scraper will slip slightly in the turns, but is chained enough it will not go anywhere. Well, usually.
I loaded one out where I could not get the truck out the gate of the job, and I did not want to be in the street longer than I had to, so I put it on the stinger on the jobsite, then drove the scraper out into the street to load onto the trailer. I had to make two full lock turns with the scraper getting out of the job, and one of my binders broke holding the stinger down. I managed to get around the turn without falling off of the dolly, and got loaded, then put the can down on the trailer to re position the dolly and re chain it. With all that hassle, I should have done the whole thing in the street. Oh, the value of hindsight.
Properly tied down, they will track straight and you can make a pretty hard turn with no trouble.