Model S uses induction motors while the 3 uses a PMSR motor. One of the disadvantages to PMSR is that it's susceptible to torque ripple at low speeds. So I believe that's why the initial launch is less punchy in order to avoid torque ripple so unless the motor or motor design themselves change, we probably aren't going to see harder launches from the 3. Engineering Explained talked about this with his P3 in
one of his YT videos. Go to about the 6 minute mark and he explains it.