Roar, you are right, it encompasses all of that, and it is the way of the future. New trainers, who now have training in those types of things, as opposed to the traditional trainer that focused mostly on the mechanical side, are displacing those guys.
Here's a personal case in point: My sister-in-law's brother was the Celtics trainer for 30 years. Highly respected by the Celtics' players, as well as a lot of former and current greats. So much so, that he was selected to be the trainer for the first several Olympic b-ball teams, culminating in being the head trainer for the 1992 Dream Team. He has signed shoes, balls and other memorabilia from an amazing array of b-ball greats.
Despite all of that, plus additional schooling that he went through to stay up to speed, the Celtics dropped him and their strength coach over the summer, in lieu of a revamped all-encompassing "Sports Science" approach.
BTW, I barely know the guy, having only met him for several minutes a few times. But, from what I've read and the interactions I've had with him, he might very well be the Cael Sanderson of PTs. Look up Ed Lacerte for some interesting reading, since I know you like that sport, too.