First of all, I don't think your question is dumb.
When I researched creating the panels, just about all of the designs I looked at suggested that a cotton batting layer between the fiberglass and the fabric would be sufficient to contain any escaping fibers. If you are concerned about the fibers escaping into the air, I would follow the design but add additional layers of the cotton batting until you feel reassured that it is thick enough. The batting is acoustically transparent so you won't affect the sound or effectiveness of the panels in any way. If you are still concerned, use thicker material for the covering. This will reduce the absorption at higher frequencies, but your piece of mind is probably worth it.
If you have never seen rigid fiberglass boards (as I had never before this project), you’ll notice that they stay together really well unless you crush or cut them. I’m no expert on fiberglass, but I don’t see how they would shed that much without abuse.
Lastly, nearly all of the professional acoustical products are made of either foam or fiberglass with fiberglass being the more popular choice. Many of the products, from what I could tell, are simply fabric wrapped fiberglass panels with treated edges that keeps them from deforming during the wrapping process. There may be a layer of something between the fiberglass and the fabric, but given the size and the need to be acoustically transparent, I can’t believe it’s that much different from the batting I used in my panels.
If there are any fiberglass experts out there that can shed some light on this subject – please chime in.
Hope this helps.