That's pretty much what most people mean by training. Its mostly about a submissive learning to submit in the way that the Dom wants them to (though there is also a certain element of the Dom learning what the sub is like and how best to dominate them). This is why I am always wary of people who say that they can train a submissive for another Dom (you can to a certain extent but you are only training them how you want them, they still have to be trained to be how the other Dom wants them) and also subs who say they are 'trained' (they may have been trained quite well but they are not trained how a new Dom may want them).

You could, in fact, argue that 'training' is not really training at all but rather an extension of the negotiation period. After all, in negotiation a sub tells a Dom what they think they enjoy and what they can tolerate but only by testing that claim during 'training' can a Dom and sub know for certain what they enjoy and can tolerate.