The read/write heads of a mechanical hard drive float on a cushion of air only nanometers above the surface of the platters. In modern drives there is one head for each magnetic platter surface on the spindle, mounted on a common arm. An actuator arm moves the heads on an arc (roughly radially) across the platters as they spin, allowing each head to access almost the entire surface of the platter as it spins. The arm is moved using a voice coil actuator or in some older designs a stepper motor.
Modern rotary or swing arm voice coil actuators immediately park the heads in a safe position upon loss of power before the platters even have a chance to lose much rotational speed and therefore the air cushion the heads float upon. So no, your drives should not be affected but nevertheless you should definitely fix the underlying issue that is causing such frequent freezing and necessitating repeated resets.