I have a few Asians. Generally speaking, I love them. I'm a sucker for gold highlights and Asians usually give those to me.
I have a problem with Asians though. Ever notice how much thicker they are than most other fabrics? It's especially noticeable when compared to a batik.
The problem is getting a uniform 1/4" seam when you mix different fabrics. I have to remember to change my needle position when sewing batik to batik, batik to regular cotton, batik to Asian, cotton to cotton, cotton to asian, and asian to asian!!
This may not seem like a big deal to most, but my favorite quilts are made from little pieces (1" square) ... NOW it makes a difference!! You can't just throw an Asian in with batiks in a bargello with 1/4" finished strips and expect the seams to match. Ask me how I know :)
So I tend to use all batik or all cotton. Asians don't lend themselves too well to 1" pieces either (why bother?).