From the video? No. Outside the video? Well, he's silently mocking everyone by impinging upon on every trickle of privacy that's left from his clients, sells their personal data to chain analyzers, Putin, his mom, charges unjustifiably high fees for withdrawals, blackmails for further info and promotes a scum token, so yeah, he's kinda wrong in some ways.
I meant from the video.
About others, Binance is a centralized exchange, anyone that gives his personal data and got registered on Binance or any other centralized exchange or service should expect that their data can be sold, hacked or exposed to other parties. We know that the best way to privacy is by never giving out personal data to get verified.
About fee, Binance withdrawal fee for altcoins are not much, unlike exchanges like HitBTC and some others. For bitcoin, on Binance, the withdrawal fee was 0.0005 BTC before, but has been reduced to 0.0002 BTC. Although, it is still high if compared to onchain bitcoin transaction fee.
About altcoins pegged with bitcoin on BEP2, BEP20, ERC20 and on other networks, that is really a means to make people mistaken those altcoins for bitcoin, and because of low fee, some people will withdrawal from such exchange into altcoin network thinking it is bitcoin network.