Forget about anything big when you are doing intial training. Any changes in flying style are dealt with in type ratings and line training.
Your only job is to teach people how to fly single engine piston aircraft properly.
And all the points you have been making arn't for the circuit they should have been taught and practised well away from the circuit. Hitting the pattern maybe something you strive to do as quickly as possible but it is counter productive and you just spend hours hammering out circuits with the student working at the max never quite getting in front of the aircraft which reduces thier learning rate. The reason why people over control and do daft things is because they are completely maxed out with no time to think. They react and because they don't have the previous exercises understood and hardwired in yet their reaction is the wrong one. If they know what they are doing and have spare capacity they see situations before they need aggressive control inputs to recover and there isn't a problem. The plane does the flying and the work load is decreased.
The only time you don't want the student trimming all the time is in the flare, below Vs+20 during stalling and the verdict is out on trimming during steep turns mainly because some people don'y have the brut force to do it without trimming a little bit.
I work as a line trainer on a manual turboprop I have to spend rather alot of time with new FO's and some of the more experenced ones teaching them how to trim properly and how to let the aircraft do the flying. I must admit a few years ago thought maybe I was a bit long in the tooth and away from regular instructing to comment on threads like these. But then I realised hang on here I am teaching new FO's the basics every day. Some of them arrive thinking you trim for a flight level not an airspeed. Secondary effects of controls is a mystery. And the power levers are up and down like a fiddlers elbow and approaches are completed inspite of the pilots inputs not because of them. The only way to tackle this is at the grass roots level of intial flight training.
And one of the big problems is people training for the future using pesudo airline ops and techniques. In the main the instructor thinks this is the way things are done in airlines when it isn't and also the student doesn't have the correct foundations to build the next step onto which they will be taught when it comes to actually flying that particular hardware. If they don't have the foundations there when the poo really hits the fan eg Buffalow or AF477 they don't have anything to go back to.