Not really mate, it's not a big deal as unless that exchange breached your private information. We need to be careful on trusting unknown exchanges that requires us to submit kyc. Much better to buy btc at trusted sites like binance or ettoro.
Binance have been hacked and had thousands of users' KYC data stolen in the past. Being a large exchange doesn't mean you are automatically safe using them.
However, why do we need to be afraid to have KYC, this KYC for me is fine and there is nothing wrong with providing KYC, if you know how this will help to reduce causing of crimes, you will be amazed.
If you don't value your privacy and are happy to complete KYC, that's fine for you. Doesn't mean everyone else thinks the same way though. There is also very little evidence that KYC helps prevent any crimes.
Why do you seem too afraid of KYC exchange? Don't they state the guarantee of your data security on the exchange?
No exchange can guarantee security, and if they say that, then they are either stupid or deliberately trying to deceive you.
Those top exchanges surely won't sell your data or share it with scammers, they know how to keep their members' trust.
Coinbase sold customer data for years, and yet are still one of the biggest exchanges out there. Exchanges can seemingly do pretty much anything and their users don't seem to care.