the battery error only prevent you from INSTALLING the update until you reset the HV - you still will get the download.
i dont think the cabin overheat protection is tied to the 12V error. the car still charges the battery and the battery is still strong at 13.x volts. i think the error indicator is just a heads up and is not preventing other features or equipment from working normally.
whilst i park in a garage it can get hot in there and ive seen model 3 cabin temps get up in the 90s but never in the 100s!!!
Here in Vegas both our 3 & Y will frequently see 103*F in the cabin while it’s 103-105*F in the garage. I attached a picture of what it’s like right now.
I would like to buy this battery once this gets figured out as my Model 3 is just over a year old and did the Colorado winter then we moved here to Vegas for all of the Summer fun. When we’ve lived in Vegas and Tucson before the 12Volt batteries in our ICE cars lasted about 1-2yrs. Part of the fun living in the desert!