Heres the deal.
Initially Scrubs was talking Mineral wool which is messy, sheds easy and is extremely absorptive to adhesives etc. Stuff like THAT needs some sort of support for keeping shapeand attaching coverings to.
In a cloud where it is fixed and not moved around it works well, but I cant think of anything that would stick to mineral wool.
Compressed fiberglass is a different animal.
It has similar properties but is firmer, and can be wrapped whilst keeping its shape better than Mineral wool.( it is also twice the price) They also sell a spray or paint on substance that seals and stiffens the surface of the compressed fiberglass sort of like super hairspray that is not flammable.
Having the plywood up against the surface of the absorber in effect puts a reflective boundary really close to the panel potentially reducing the effectiveness in those frequencies that wont pass through the backing. If the sounds were able to pass through the panel, reflect off the ceiling (which is hopefully a few inches away and loses some energy) then tries to pass back through the panel where it absorbs more at the second pass it simply absorbs more. At 2 mm thickness ( approx 1/16th inch) the only thing the plywood would reflect is the higher frequencies, in primarily the range where the mineral wool / compressed fiberglass is allready more absorptive percentage wise.
In other words, the absorbers are not equally absorptive across the entire frequency range, they may absorb 95 percent of highs whilst only absorbing 50 percent of mids.
I personally think (what ever THAT is worth) that the reduction of absorbtion in the higher and mid frequencies by backing the mineral wool (not the fiberglass) with thin plywood to help with keeping shape and adhereing the fabric to it is well worth the trade off, particularly if you dont just put one 2 ft by 4 ft piece up.
It is strictly my experiance.
I have over 100 pieces of 2" mineral wool up in my studio...
Tom