Induction Motors: 110V vs 220V

I have a question for the engineers/scientists out there.

I have a table saw with a 1.5hp induction motor (TEFC) that can be wired for either 110V or 220V. It's currently wired for 110V single-phase AC.

I remember my father used to rewire his table saw's motor, changing it to 220V. He said he didn't think doing so gave it any more power; it just gave it more "snap" in getting started quickly.

Here's my question: In an application where an induction motor was pushed close to its power limit (i..e., 1.5 horsepower) in a continuous-duty application, or even an intermittent-load situation, wouldn't wiring it to run on 220V be better than 110V if you were concerned about thermal overload?

I don't entirely understand how an induction motor works, but it seems that if you double the voltage, you're going to cut the heat-producing amperage in half in the windings, and thus the motor will run "cooler" at the higher voltage.

Am I anywhere close to correct here?

Are there other/any advantages to wiring a table saw motor to run on

Thanks for any feedback.