[If you cant answer the question about using an alternative battery and the consequences of such then you are of no use at all to me and your odd suggestion that I am not giving information despite several times insisting I have the correct battery is of no help whatsoever.
Kindly refrain from answering this thread.
I design electronic equipment including items that have battery chargers built into them. So my experience is valid
The information you are providing is contra-dictory. How do you know the charger is rated at 12 volts 500 mA ? Is it a separate unit from the control panel.
But the most contra-dictory statement is that the charger is 12 volt and the original fitted battery is 7.5 volt. If that is true then the design of the system is not good. To put 500 mA into an AA cell ( or AA cells in series ) without temperature sensing of the cell pack to reduce charging current once the cells are fully charged isasking for damage to the cells and possible fire or explosion risk.
No one is going to give advice based on in-accurate information as the risk of possibly in-valid advice causing you to be injured is to high.