There are times when even I do press to one side, like with curves and arcs. But also some fabrics are better treated that way. In my historical view of "why do we go to the side" it also corresponds with a time period when US made fabric was rather flimsy but you will find references to tiny seams on tightly woven goods. Fabric got better (in general) but we didn't change our ways of "this is how we do it because the fabric is flimsy and I don't have an electric iron" but just to this is how you quilt.
I'd say "quilting suitable" fabric is entirely suitable for open seams or by definition, it's not really quilting suitable.
So some fabrics because they ravel might be better to one side or the other disregarding the fabric. Some weaves of fabric are different and the fabric just doesn't want to fold back in one direction or another but it is still usable.