The type of fiber does not necessarily reflect fabric quality. There are differences of weight, yarn quality, weaving standards, design, dyeing, printing, and finishing in all types of fabrics. There are poor silks and gorgeous rayons and vice versa. These looms can weave complex floral or geometric patterns with single or multiple colors of yarn of any fiber content. There are a variety of different types of jacquards based depth, surface texture, weight and pattern.
Prints are usually much lighter on the wrong side.
Sometimes they don't bleed through at all. Woven designs appear on both sides of the fabric, although the colors or pattern may look different on each side. A yarn-dyed fabric simply means that the patterns you see are woven into the fabric with colored yarn, not printed on it. If this sounds like rayon to you, you're right. But this is a new derivation.