The performance models of every version hit harder out of the hole than the LR versions do. The reason is because tesla nerfs them; why would you buy a $120k car, when the $99k version does pretty much the same thing 0-100?
LR is 670hp (iirc)
Plaid is 1020hp
Both cars can only launch at 350-400hp(ish) on street tires, and both cars have more than enough power to do that, so they intentionally nerf the LR to create a gap in performance.
They may have also induced more wheel speed (spin) in the programming to make the launch a little easier on the hardware - but this is just a possibility, I have no clue on the actuality of that scenario.