Don't theyre all lies.
I've tried quite a few and none last as good as the official DS lite ones.
Ones off ebay barely last 45mins some dropped as low as 20mins. Deal extremes 2000 one lasted just under the regular ds lite one but was still an hour or two short of its life, most the others matched the same as the ones off ebay just in a different box. Infact one of them a 1600 looked just like the 2000 one on ebay you linked.
As crazy as this sounds, the same battery started to "leak" or at least started to fuse itself to my desk (li-ions shouldn't do that).
If you live in the USA I think you can buy an official OEM ds lite battery direct from nintendo if you are having issues with it, but other than that don't trust any 3rd party battery unless there is a specific manufacturer recommended by someone else.