They do, actually. The direct effects of the earths rotation on an aircraft are much smaller than the effects of localized aerodynamic forces: winds, updrafts, etc. You mentioned pendulums: the pendulums you’re talking about are swinging indoors, protected from the wind. Imagine trying to observe the rotational effects of the earth on a pendulum exposed to hurricane-force winds. Such winds will have a far greater effect on the motion of the pendulum, masking any rotational influence. It still exists, technically, but it’s a relatively minor effect.
However, indirectly, the earths rotation causes “Coriolis effects” on air masses moving toward or away from the poles. This influences weather patterns at all scales, which has massive influence on air travel.
Sorry, Pope “Badassmotherfucker” is reserved should Samuel L. Jackson ever run for the papacy.