difficult to say. the bell battery is there to souynd the bell if the supply to it is interrupted. systems generally will work happily wiythout it. however, if it's duff, it could draw excess current from the panel.
what you have to do is dis. the tamper circiut/s from the panel terminals and meter them for continuity.
what you have to do is dis. the tamper circiut/s from the panel terminals and meter them for continuity.