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I stopped joining airdrops long time ago, and surely some would have done the same as well.
It's quite good idea for a project to do the same as what you mentioned in the OP, since it is indeed vulnerable to abuse. People making an alts here and there with their fake information. I wouldn't term that "penalizing" though. I would describe it as limiting the users involved like what tsaroz mentioned "lucky draw". It is not 100% foolproof, but it surely reduces abuse. I believe some airdrop "hunters" dump the coin anyway, so what if the platform just decided to limit it. There would be lesser number of people dumping their coins, though I know that even common airdrops aren't that much of a percentage out of the total supply.
Will it do any harm to crypto? No. I don't think that attention to crypto is highly focused on airdrops anyway. Many airdrops turned out to be a scam long time ago and if that hurt crypto, there wouldn't be that many of newer projects coming right out these days already.
As for me, it's the project's part to limit their participants. It's necessary to control the number of abusers. It will be beneficial to the project as well as the investors. It wuuldn't harm crypto because we really need to balance everything even the rewards distribution. There are honest participants but there are even more abusers.