note also that yes, it is *technically* possible to reverse-charge most types of batteries, even alkalines, but this is universally a failure state and they do not have much capacity when reverse charged (and will only charge to a few hundred millivolts if that)
Lead-acid cells are actually symmetric (except for mechanical asymmetries in how commercial ones are designed)
@Terrana This is true! But in the case of batteries, it involves chemical changes. I'm not sure what the exact chemistry is that happens but I imagine you start electroplating off the magnesium from the MnO₂ in alkaline cells, with the release of oxygen gas which would probably make the battery explode come to think of it, they tend to be airtight