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FWIW, there's no battery in that screen grab, for a car or otherwise. I'm not sure what is in that refrigerator (freezers rarely have grated shelves, at least, I've only seen them in floor freezers), but it isn't a car battery. Maybe it's components for a battery, though. I wondered at why they chose to show that shot.
All the components of a car battery. You can see the lead on the right.
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As to why the lid should be in the fridge? My real-world guess is so all the bits are in one place, but the real reason is likely because the audience will more easily recognize the top of a battery over just seeing the chemicals.
The fans sure don't like you saying that though.
Worth it.