Torque steer in front wheel drive vehicles is mainly due to the offset of the transmission to one side. The drive axles are unequal in length, so one will twist more than the other, resulting in a delay or lag the side with the longer axle. More power (torque, actually) applied more quickly results in more of a problem.
Automakers have multiple solutions for this. One is to increase the diameter of the longer axle, so that its angle of twist equals the other side. But the two are only equal at one level of torque. Very high stompage on the pedal will still result in an imbalance.
Another is to put an inflexible intermediate shaft from the transmission output on the long side to a fixed "pillow block," positioned on the opposite side so that both drive axles are the same length. This eats up space and costs money, so you won't see it in low-priced cars, but it enables a lot more torque to be applied
The third is more subtle, and hard to execute. But if the transmission output axis is substantially higher than the hub centerline, torque steer is worsened. The only cure here is to lower the transmission output flanges, but this isn't always possible.
You can't make any of these mods yourself. Whatever the designers did or did not put in your car is what you've got. But you can look under the hood of any new FWD vehicle you might be considering for purchase to see what's up. Meanwhile, don't stomp too hard on the pedal.
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