Also you never even considered the option I came up with that has zero security issues and is effectively fool proof as you can't fake a sig, all you can do is try to take something that some has signed before and pass it off as your own but if the message is randomly generated you can't fake it
You could have a script where you give your address you want to redeem and then it asks for a random message to be signed within like lets say 5 minutes and if that signature can be verified correctly then you just send the correctly allocated funds to their payout account that the user specifies, problem solved.
Furthermore you shouldn't control unclaimed coins that is just dumb, if anything you should only get 1% of all claimed coins and even that is far far too much. Also it isn't owning 1% of your idea, your idea is to join all the coins under one platform, thats called an exchange... you didn't come up with anything. If people really wanted to get all their coins into one wallet they could just trade them for the coin they wanted to have...