that is why they are called torque rate limiters.....
and a normal car does apply power when you tap the pedal, so.....sort of the goal here.
if you like your vehicle to not respond when you apply throttle then leave it stock or calibrate the tables to your liking. easy enough.
and depending on how heavily you have compensated with other tables at low speed, you could certainly get unexpected results if your "jump forward" is extreme. if you're saying your car responds when you give it gas now then I would say you're on the right track.