I heard power tools run on long cords go bad sooner. I assume because of the voltage drop the motor runs slower. I am thinking that the voltage drop is not a direct factor but slower speeds means less airflow since they all have a fan on the shaft (except pass through vacuums unless heavy duty. I remember in the seventies sears had a vacuum that had two speeds. But I think it was controlled by the entry point of the wire in motor, not a device that is like a dimmer made for brush motors. I saw one on a centrifuge and after market for routers.
I am asking if lack of air flow from lower speeds due to voltage drops damage power tools (skilsaw and such)