A lot depends on the type of base fabric used for the batik. I have several that are soft and almost silky feeling even though they are all cotton and I have others that are a much coarser, heavier fabric almost drapery weight.
If you are doing a baby quilt just be sure to choose the really soft ones.
I've not had a problem with bleeding of the dyes or with fading,but it never hurts to prewash.