It can, but in this situation it is programmed not to. I suspect this is a result of problems people had last year. They were at a low SoC with a cold soaked battery and they plugged into a "low-power" EVSE. The car turned the battery heater on, which took more power than the EVSE supplied and they actually ended up running the battery dead rather than charging the car. So they had a slightly warmer battery, but not warm enough to charge at full speed, and not enough charge remaining to continue to run the battery heater or drive somewhere else.
You can look at it a few ways:
- The EVSE he was using was too low power.
- Tesla put too big of a battery heater in the car.
- Tesla put a fixed power battery heater in the car.
In the Model 3 Tesla solved #3 by making the motor/inverter the battery heater so they can control how much power they turn into heat.
From what I have seen the battery heater draws 6kW. The charger efficiency is around 90%, and there is ~0.5kW of other draw while charging. (Coolant pumps, screens, computers, etc.) So you need an EVSE that can provide at least 7.2kW to be able to run the battery heater. So if you have a 30A @ 240v EVSE you should be good. But if your EVSE is on commercial power you would need 35A @ 207v.
The OP said he was charging at 30A @ 240v, but his screen capture showed 214v. So there was only 6.4kW of power available. (He was very close to having enough power available.)
Of course only Tesla knows exactly what the parameters they use to determine if the battery heater can be run while charging or not. (They could have just set the limit to 35A, or it could be 40A. Or maybe they set it to 32A since that is what their Gen2 UMC provides.)
Someone should test it out with a Tesla WC. (But the only options it has to configure are for 28A, 32A, 36A, and 40A which I guess would be good enough.)
@yobigd20 What were the specs on the charger at the Holiday Inn? (Or was the screen capture from that one and not the one near the train station?)