Exactly. Neither one of us are saying counterfeits are good and you're trying to do something decent here. Maybe it would bring a friend a little pleasure. Tossing something in the garbage here means nothing. The garbage cans are gone thru and items taken out in a second. Products are then resold. My cleaning lady can't afford to buy herself new items and I would happily give her a bag like that I wasn't using.
You could write 'fake' on the inside pocket so it can't be sold to anyone else I guess.
From my perspective as an aged crone, I can only offer this advice. If you are determined not to destroy your counterfeit bags then it is for you to live with your mistakes. How would you feel if someone gave you a gift that had "fake" either figuratively or literally written all over it? From my humble origins, I can tell you it would not sit well.