The key is that many chargers are really sketchy and are best disposed of immediately after purchase. Most of the ones that come with backup lights are like that. Do not store lithium full, it's bad for them, but their self-discharge is so low that every 3-6mos put them on a test cycle and you're good to go. They should not need to be cycled as they have no memory BUT most of the chargers that come with these backup lights are utter garbage so you don't actually know if it was fully charged to begin with....
If it looks anything like this one, just trash it.
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This one is ideal. It has selectable charge rates, has a battery test mode which will fully charge, fully discharge, and fully charge the battery and report back the capacity. For NiMH batteries it has a refresh mode which will cycle them a couple of times and will be fine.