I know the topic sounds a bit strange (reflective absorber..
Since there is often too much high absorption, when you use a lot of broadband absorbers, I thought it may be a good idea to get them semi-reflective at high frequencies. The idea is to put some thin slats (like here : http://www.cloneensemble.com/trappix/19_corner_1.jpg ) or thick paper in front of the mineral wool, which is only reflectiv to the highs/high mids.
Here is a rough sketch:

And here is my question: Is it ok to span fabric in front of them (...plain with no air gap between it and the slats - like in the picture), or does the fabric self absorb too much highs, so that the reflectiv parts gets useless?
I hope that you got my point and that this question was not posted before.
best regards
JCR