Would BitSend qualify as an airdrop since it requires you to own a bitcointalk account of a certain status?

It is an airdrop giveaway.

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Does BCH count as an airdrop?

We can call BCH a fork drop. It does not give you anything you did not have yet. You just did not know you had them before.

Beware of fake airdrops trying to get you to enter your private keys to claim. I've got one from DNT and PAY in the last 12 hours via Slack

Slack is used a lot for scam spam.