It probably doesn't make much difference if you're shopping for triple As for a remote control, but with larger cells I'm always slightly wary of rewraps.
I'll see if I can dig out an article about it if I remember when I'm off the train.
I assume there's similar issues with all large batteries.
In a nutshell... fake batteries on Amazon can harm people badly.
If you're not so lucky, it's from a back-alley micro-factory with no quality control and the cells can literally burst into flame (which has been the big issue with "hover boards" recently).
I remember a recent article about Rain, Inc (I had one of their beautiful 2006 iMac stands) and how Amazon essentially cut their price in half offering the same product with an Amazon logo instead.