The problem is not the front panel fabric, however, the foam lining in the enclosure would provide little benefit for first reflection points.
The problem is placing a ported speaker in an enclosed area. A ported speaker needs to filter the low bass into the room. I think most will not recommend placing most of the Axiom speakers, or any ported speaker, in such an enclosed quarters.
Also, you will need at least 6-8' of room behind the 60's or 80's for best results, in a normal back wall setup.
Ahh the rub,
6" is doable, 6' is not. Hmmmm, what to do. WAF must be achieved.