NAPCO 1632 Panel

["aptw" <aptw_1999@xxxxxxxxx>]

I am a consultant and have a customer that has the following issue with
their NAPCO 1632 panel and the battery fault alarm.

Each Site has a GEM-1632 panel with a RB3008
There is no phone line associated with the systems
Each site has three alarms that it gives to a "SCADA" systems
process alarm panel via the RB3008 outputs. 1 For a burg alarm, 1 for
Arm Disarm and 1 for a system trouble.
With the system disarmed if I remove the battery I get an immediate
system trouble annunciated at the keypad and the trouble output changes
state.
If the battery is plugged back in and the 'Reset" key pressed on
the keypad the alarm resets.
If the panel is armed and the battery is removed the alarm is not
annunciated and the relay does not change state.

My questions are as follows.

Should the battery alarm be the same regardless of whether the panel is
armed or disarmed?
If both instances should be the same is this a programming error?
If a programming error what is incorrect?
If not a programming error how do I make both alarms come in instantly?