Battery is drained because of alarm system even though it is off.True or false?

The car and the alarm are off. I have a dead battery. The dealer is telling me that the security system is always searching therefore using a lot of power. I don't believe him. Confused.

The dealers diagnosis makes no sense. The alarm system does not search causing it to use power. It operates on a preset protocol. What is their recommended remedy?

Just found this blog- have same issue with my 2004 Viper, but it also has a Viper installed security system. Since I drive mine sparsely, I always had to remove battery and recharge. Bought Optima battery to solve issue which prolonged problem. Finally installed a kill switch. Crude but problem solved.