No it doesn't but if you are talking about visual scan I think the yoke being full back would make you react immediately leaving 35,000 for the impossible climb to 38,000 at the rate he was climbing before noticing the attitude indicator, don't you? They were too heavy to climb to FL370 because of weight and temp in turbulence so 1.3 buffet was their chart to climb.
Even if they used the AB 5 degrees nose up climb power memory items at their altitude it wouldn't have worked because unless they leveled out immediately they would have been too high and too slow and violated their RVSM separation.