You can buy EOS with other pairs inside Binance; its just a centralized ledger; ofcourse only after 'user' wallets get done and 'mainnet' stabilizes that it should open the ledger to the world as Deposits/Withdrawals; should be the same with wallet exodus only after adaptation to the new mainnet (instead of using "erc20-eth") that you can send or receive own EOS net 'tokens' , until that time even Binance have all EOS 'stored' away and even does not need to handle the tokens because as a centralized service exchange(provider) it can handle book/deals just using own market.
But only having EOS (me promoting FOMO hehehe) inside your Binance account you can still receive Airdrops as promised by Binance; that later on, only when wallets like Exodus or Scatter would handle equivalent to the 'EOSERC20' one would be able to withdraw(only) from Binance. Binance would not do automatic trading-listing but suporting Airdrops ofcourse means support of future eoserc20tokens withdrawal ... Come on get at leas 1 EOS to learn these how-to-do-it ...