I just looked through the hobbs's website and see absolutely nothing about right side/wrong side of any of their batts.
I've never seen it on labels either. I'd really appreciate some documentation, until I do, I'll consider it myth.
The only quilt I've had beard is now about 20 years old a scrappy gift. Over the years I've picked off a ton of bearding, which only occurrs on some of the fabric. Visual tells me it is the looser woven fabric bearding. Many expensive homespuns are loosely woven and they cost plenty so 'cheap' isn't the problem