You could run an AP off a car battery, however the design is for 24V nominal.
You would want to run two 12V batteries in series for 24V
It continue to not be clear to me.
Perhaps are you saying that it could work at 12V but it's not officially supported? Or it will not work at all?
What did you mean when you wrote "Spec is 12 - 36V"? Where do you read it from?
I can get an already existing 12V power supply from another organization, so I cannot put my own two batteries in series to obtain 24V. I'd like to know if I could reliably use this 12V to power the APs.
SM’s have been reliably powered on 12V, and as the AP is the same hardware with different software it would be safe to assume that the AP would also run on 12V
With that said I do not know what, if any adverse affects running an AP at the lowest end of the power range will have on performance.
Perhaps are you saying that it could work at 12V but it's not officially supported? Or it will not work at all?
I have some P10 5400 AP powered by a 12V car battery and I had no issues since several months. The batteries are constantly charged by a car charger with overcharge protection, so the system acts like a UPS but charge can last for about 1-2 days in case of blackout. In any case a car battery has a voltage of 13.8V.