I am tending to believe that this is a fake. A plant. 1) HOW could a cloth patch survive when none of the spacesuit did? and 2) This is a mighty small and non-reflective thing - how convenient for someone to stumble across it at this particular time.
I'm guessing that this patch was never attached to a suit at all. Likely it was carried loose by one of the crewmembers as a souvenir, or as a post-flight gift for a family member, friend, or colleague.
I've heard that a stash (I'm not sure how many) of these patches were carried on each flight; to be used as momentoes of the trip.
If that is so, I can see how some might survive, and in fact be found in multiple locations.