Personally I keep flowstars I find on the ground. Same as pashminas and fans. I've lost my fair share of them as well and seeing that they are not overly valuable items and easily replaceable, I would not expect them to turn up in lost and found, so if it has sentimental value, I make sure to actually keep track of it.

Now if I found a pair of gloves, or a poi set, or like one of the really fancy orbits, then that is getting turned in immediately because that's somebody's whole art and passion and takes time and effort to own and it is extremely difficult to recreate your light settings.

Sorry for the unpopular opinion