We don't carry the Moda Bellas. I would say the new Moda Marbles are as thick as the Kona Cottons but they are softer to the touch.
I sent the bad bolt back to Moda. I did take a couple of pictures of the fabric before I sent it back, and of those pictures the lines were all in the warp (parallel to the selvedges). But I don't know if there were also dark horizontal lines too.
Warp or weft... is that a clue to something?