Keep in mind that these charts at low speed are not correct (not sure why). The torque doesn't behave that way and it doesn't increase with speed at low SOC as is seen around 30-35mph in these plots. All the power curves should lie roughly on top of each other up to 30mph (which they don't here).
Adding on to
@AlanSubie4Life answer:
There is a torque limit applied that keeps the torque at a max level as long as the battery can deliver voltage and current enough for this.
As power is [torque x rpm] we actually have almost no power in the begining of the pull from zero, as the rpm starts at zero.
This is in perfect harmony with the laws of nature.
The driving wheels can only take a certain amount of torque before the spin and loose the good grip. This is the reason to have that torque limitation. Its not possible to put down 500Hp at low speed.
So basically the car has 0hp at 0 mph, but a lot of torque. And at some 70kph/ 43mph the M3P still delivers max torque but it starts to reduce about there.
The power will describe a almost straight line from 0mph and 0kW to 43mph where it starts to bend down and reach the about 500hp max at some 85 kph/ 53mph or so.
The trick question would be, how many hp does the Plaid deliver at very low speed? 1000? Nope!
(I did not find a official picture for the M3P, so I webt with this instead).
It would be possible or even really easy to let the car/engibes put put much more torque at low speeds (resulting in higher power) but we would only have wheel spin as a result that would need to be restricted by the ASR.
Also,,having instantly much more torque would need a beefier transmission, not to break causing a higher weight of the car.
As the need for power is not that high at lower speeds, the low SOC do not cause a massive drop in low speed acceleration.
But as the battery droop in voltage at load with low SOC there will be a reduction in torque as well, if the battery is not wsrm enough to not drop tso much as it affects the torque.
Living in a warm climate at summer probably reduce the ”loss” (almost)completely on a 0-40 mph drag but living cold or not in the warm summer makes us notice that the pull is weaker.
Charging late at max power will heat the battery, and the heat will be there st the next stop light pull!
(Charging late is one of the things to do to reduce calendar aging so a double win).