@Exploring XLT .
Engine torque increase tries to "raise" engine up off the driver-side engine mount, then settles down when torque decreases. This effect is small with mounts in good condition. If a mount is softened, or broken, the effect can be drastic. So much so, GM began specifying short chains welded onto mounts one year as a "fix" for faulty mount design.
If this is happening with your vehicle, trace along wiring, especially that harness carrying the temp. sensor wiring, for possible shorting-out electrically by crushing force somewhere.
When I ran a service station years ago, a guy dropped off his Chevy, needed "new mounts". He left, I started it outside, ready to pull into a bay, gave it considerable gas, and it lurched forward suddenly, off the gas pedal, it kept going under power, heading for the plate glass windows out front. Fortunately, i stopped it. Opened hood, stood on brakes, gave it gas in drive, entire left side of engine lifted up about 5 inches, LOCKED the throttle open! Then I noticed the dents in his hood....... true story! imp
