As others have stated. Not all BMS have low or high temp protection. Not all that claim to have it actually do. This is how some brands stating same voltage, capacity, and output specs can very drastically in price.
When I picked up some 12v ones that I needed to know for sure had the protection I watched alot of testing videos from Will Prowse and went with ones he tested and recommended. If you are not opposed to taking a risk and ordering some you can test the function of these features yourself.