For example, I took part in the airdrop program and the manager asked me for a SOL address, and I gave him the SOL address in my Binance account, whether the coins will go to the Binance address or not.
It will go to your Binance account if the tokens to be distributed by the developer are already listed on Binance. If it hasn't been listed, then you won't get anything and your token will sit there until maybe one day the token is listed there. For airdrops & programs that offer tokens, I suggest you have a wallet like Bitget Wallet, Trust Wallet or OKX Wallet. It will helps you & makes it easier to manage tokens.