At no time, whether you’re making a right turn or a left turn from a left (of two adjacent) turn, should you enter into or make any move that suggests you’re going to enter into any other lane than your own. People who swing right to make a left, or swing left to make a right, cause accidents. And there’s never any cause to do so.
When making any turn, left or right, you should enter it from either the center of your lane or a side of your lane biased toward the final goal. And you should enter the new lane with as small an arc radius as practical, not cutting out the corner of another lane.
Even tractor-trailer drivers, who have to deal with rear wheels that cut much deeper into the turn and cut a much larger turning radius that the front wheels, don’t suddenly “swing out” into other lanes. They anticipate ahead and bias their truck to the side of their lane opposite the turn they’ll be making, drive farther into the corner before turning than a car driver is used to, and then cut a very sharp turn with the front wheels. If they must use part of another lane, they position the truck to reduce the likelihood of being misunderstood and having some nut try to squeeze through on their right. They also have signs on their trailers warning drivers of the inherent weaknesses of their trucks in turns, things like “this truck makes wide turns” (with a drawn depiction). Occasionally some idiot does try to squeeze through the wrong side of a turning truck, but no preventative measure is 100% effective.
I don’t know how these electronic insurance spies would grade these turns. But I wouldn’t have one of these potential adversaries in my car if you paid me to. Well, maybe if you paid me A LOT!!! 
If you really want to understand how turns work, I recommend getting a steerable toy car, a steerable toy truck, a few “third party” toy cars, and a piece of wood onto which you can draw lanes and corners. Play with them and see how wheels actually track in turns. I taught my daughter how to parallel park using similar toys and it worked beautifully. She initially thought I was nuts, but she really understood how a car moves when making a parallel park after we played with the toys. She “nailed it” when we then went out and tried it, and she had really been struggling with this maneuver. Toy cars really can be a great learning tool.
In summary, there is one practice in my response that I recommend above all else. Take a tip from the truckers. Anticipate, plan ahead, and position your car ahead for a good turn before starting to make one.