nl255 said:
Actually, with Lithium-Ion batteries you get the most battery life out of them if you charge them up frequently. Basically, think of it as a reverse memory effect. Also, if a Lithium-Ion battery drains completely (not just to the point where your DS/DSi/3DS/phone doesn't turn on, but completely out of power), it can NEVER be recharged as there is a safety circuit in there that trips when the battery is fully discharged. If you did manage to recharge a fully drained lithium ion battery it would likely EXPLODE which is why that safety circuit is there.
You are correct, but not only will you damage your battery if it gets drained, but also if your battery gets "too" charged.
I doubt all this can happen, the 3DS will monitor voltage levels and turn on/off charging when necessary. Like stated above, lithium-ion batteries last the longest if you charge them in interval, and not fully, and not from drained to full. Therefore I think the 3DS stand is great... whenever you're finished just put it in the stand.