Management knows that the work will cost more by following the methods. The culture of the company is "make a number at all cost". I believe they teach the method just so their lawyers can say that the taught us the right way after we get hurt.
I would even say that in some cases the people that DO follow the methods are accused of "being slow", "lazy" etc. the ones that don't follow them are faster and fall under less criticism from management.
Yes. In my opinion this is all unethical.