These sound like too different fabrics completely!
Batik making uses the method of wax resist process in order to make the design patterns on the surface of the fabric, if there is any wax residue left on the surface it should not be like fur but feel like candle or bees wax. This can be easily removed by ironing over the top of the fabric with a very hot iron, being careful to protect both the fabric and the ironing board with plenty of brown paper!!!!!
The fabric you describe sounds like some kind of brushed or suede fabric.
Gal