Low 12 volt dc Voltage will not cause the Cooling unit to go "offline" or not cool. LOW dc voltage will cause the refer controls to NOT operate, but that threshold I usually below 10.5 volts. So, once your DC line voltage was over 12 volts that fixed any control problem but 11.4 the refer will operate as designed. The ONLY thing that may cause a problem is you added the ARP unit. THAT can possibly cause a 12 volt control shut down. You need to call ARP and tell them what you did from this post and ask if the ARP would affect your refer controls at 11.4 volts or lower. LP Gas and 120 Have the exact same Heating BTU's so LP will not work better/faster than 120. Doug