I don't have more training than anyone else - as you say nobody bothers to get it unless forced. I passed my test at 16, I know of a couple changes to training since then but it is by accident since I didn't look and no effort is made to ensure drivers hear of changes. I know many several things in my training that it is obvious nobody is doing.
I think training could help. However I don't think it will. People think they are good enough and will write down answers to pass the test. Maybe if the training was mandatory behind the wheel with failure meaning you lose your license - but the voters won't stand for that.
Quantity of training =/= advanced skill. It's also not arrogance on my part to see people who struggle with even the basics like a four-way stop, and not assess them to be lower skilled than myself. Arrogance would be assuming it, I just wait for people to do dumb shit, then judge them for it.