In the sim, the stalls normally performed are done assuming ground contact is a factor (ie, you're very close to the ground). The object is to recognize the approaching stall (buffet, stick shaker etc.) and then recover with minimum altitude loss. To do that, the pitch attitude is held constant while max power is applied. A big jet can develop a pretty big sink rate very fast if the pitch attitude is lowered during the initial recovery. As engine power increases, pitch attitude is gradually reduced to maintain altitude and increase speed.
At high altitude, the nose is lowered about 5-10 degrees below the horizon as max power is applied. After all, you have plenty of altitude to work with so you might as well trade it for speed. And besides, the engines wouldn't be able to provide enough power to maintain altitude and increase speed to recover.