If you choose to carry a big heavy lead acid battery (the cheapest solution) then the type is relatively unimportant.
In an evening of running a mount you are not going to eat into much of the capacity. So if you have a grotty old battery that won't start the car on a cold morning, or won't hold up the headlights beyond half an hour, it is probably good enough to run a mount. This statement assumes a battery with a general loss of performance through age and sulphate. If an individual cell has failed, that is a different story.
If weight is of interest, or you are going to have to pay full price for a battery, then you are far better spending on something with a lithium battery.
Excellent life expectancy. Superb cold performance. Inbuilt charge and discharge monitors prevent you from doing harm to the battery.
If you want to run a mount, and lots of dew heaters, and a camera, and other things, then you ought to get the calculator out to ensure a small capacity lithium package is going to be good enough.
Just my take on battery power - not necessarily everyone agrees!
Hope this helps, David.