I have been KYC verified in Binance btw. So, I don't really bugged by this sudden announcement.
I don't think they'll sell any info unless their system get infiltrated by the cyber criminals.
You can not say they will never do anything. Any staff, former staff from Binance can sell data to other companies. It is not strange in life. The best way to not lose your private information is not to do KYC.
However, with more regulations from governments, like what we see with Binance, they can not ignore pressure from many nations. At the end, they take care of the company first, not customer first.
Crypto is now on the limelight so expect that government will interfere since for sure they see the potential to gain millions or even billions if they can regulate it, so expect that this scenario will happen since this is part of legalizing of their platform. And I don't feel worried about that since knowing binance is a good platform that's why I didn't think twice to do it compare to other exchange which I really don't know if they are still good for more longer years.
It happens when Binance become bigger and dominates the market. It happens when big social media like Facebook or Twitter, or Amazon dominates market and have huge impact in society. Governments will make more pressure to control those companies as much as they can.