When considering the principles of learning we are only concerned with training and not teaching.
Knowledge of the principles of learning are necessary to effective teaching.
Teaching is purely the imparting of knowledge.
You're making up your own definitions here, or subscribing to the ideas of someone else who made up their own definitions. Using the distinctions you suggest, training is not explicitly different from teaching; it's a form of teaching. There's nothing wrong in using the terms interchangeably. I can say that I've taught someone how to swim if when I'm done the person knows how to swim. By the same token, if I impart knowledge about water safety prior to getting in the pool, I can say that a person has been trained in water safety.
Training is also the understanding of the practical application of this knowledge.
See above.
A teacher is not necessarily concerned with the after effects of his or her teaching, other than passing exams.
Why would a person want to teach if there were no concern for the results?
My emphasis.A trainer teaches with the sole purpose that the theory is correctly put into practice.
As for the subject of this thread, if people are knowledgeable regarding the things they're supposed to verify before using power equipment, it doesn't make much difference what you call the act of imparting that knowledge. I can teach people how to look for hydraulic leaks by showing them pictures of vehicles with hydraulic fluid dripping from them and the places on the vehicle to look for leaks, and it matters not whether I say afterward that I trained them or taught them.