So, when we get the 'red battery' state in TM, this is the drive unit temperature.
Let's say the battery turns from red to green in 5 laps of a track. If we then do a slower lap, it comes right back down to green pretty quickly.
This corresponds to the Track Mode data where it's 'normal' state seems to be around 67% and the graphic starts to turn orange around 75% and gets to bright red >90%.
I've seen it get up to 98% but then when I slow down, it drops back to 67% within about 60 seconds.
This % value is not an oil temperature, it's the motor windings temperature, because that's where the stock sensors are and the oil temperature would take much longer to fall.
So what this is going to come down to is how much difference a larger volume of cooler oil circulating around the windings is going to make. The flow rate of the pump is supposedly really high, which would certainly help with this.
It may be better to try and increase the oil volume than cool a smaller volume down with fans and airflow. Both would be good, of course.
An oil temperature sensor would help. We could stick one of these on the dash and confuse people.