in case you also want a GM to confirm, yes it is correct.
Note however that should you train game shape they WILL receive full training increasing your player's shapes, but training is not the only thing affecting it, playing minutes also affect shape, just like when you would train something else !!
Also when already in high shape players who train shape might not realy go up visibly, because they might already have more or less reached their top... (so don't expect all to be proficient after the training, just because you trained shape and your guys already where strong...)
They are not your friends; they dispise you. I am the only one you can count on. Trust me.