I don't know the article you mentioned but I do know that the most stretch in fabric is, of course, along the bias. The least stretch is with the grain( called warp or parallel to the selvage. Across the fabric (the weft or from selvage to selvage) has more stretch than the warp.
I've never been super successful at quilting with no tucks using my domestic machine. I don't know if it's because my pressure on the walking foot isn't set correctly or maybe it's because my sandwich shifts some. I do pin the layers together about every 3" but I always have to quilt in more than one direction. If I don't want tucks I either have to hand quilt a quilt on my antique frame or do it on my LA where the rollers and clamps keep the quilt straight and firm. I'm not much help, sorry.