I think there are two totally different issues here.

If the bank gave you an extra $200 when they balanced they would be off $200 and somebody would possibly lose their job for being off that much (at least at the bank I was at depending on how long they had been there). The $200 is a real thing, it can't be in two places at once. And yes, I would report that to the bank, and have in the past when they credited me something I shouldn't have had.

Points are totally different. They are not real. The person probably called and said "hey, I stayed here and I didn't get my points" and they said "gee, no you didn't, so here you go sir" and they credit his account. There's no bucket of points on the other side that won't balance, points are not backed up by anything.

I'm assuming you already mentioned the first time you contacted them that they were not your points, so I think you have already contacted them and pointed out the error. I think you have done what would be expected of you.

I would not pick up a wallet I found in most situtations anymore. Places like New York set them out as traps and if you don't happen to see the cop hiding behind the column, as soon as you move with the wallet they come and arrest you for not turning it into the cop you didn't see (really they have done that to people). If I was home most certainly I would contact the person and turn in the wallet or drop it off at the police station.

I have also handed over somebody's paycheck money in the money envelope on the floor of a deli I frequent, $800 or so two weeks before Christmas, so you know it was somebody's bonus money, the guy came back looking for it (free sandwich for me next time!)

I just don't see points the same as money, since you have already informed them they were not yours.