My Sylvia's bridal sampler is 100% batiks. I swapped out all the applique blocks as I didn't want to do them. Not because they are batiks though. I actually prefer batiks for needle turn as they hold the edge really well. I can finger crease and it stays. I have hand needles with microgrooves and they go through very nicely.
I have had no problem with my LA and batiks. My main gripe with them is that even though I prewash, I've had way more bleeding with dark batiks than any other fabric.
And maybe I don't have any problems with quilting because I do prewash all my fabrics.