Lithium, I plug my controller(s) into my laptop when not in use. It recharges while gaming on my laptop as well.
Those battery doors never last, rechargeable batteries start to fail as well and won't recharge properly if you put them in the charger in the wrong combination. I hate stuff that uses 1 or 3 batteries while the chargers all charge 2 at a time. I've started going back to disposable batteries, much cheaper, way less problems. I have a couple dozen rechargeable batteries around the house but some are not charging right anymore, and some are physically falling apart. Remaining battery life is also never reliable with rechargeable batteries. You would think there would have been some improvements on that in the last couple decades.