Yeah it's very worth to taking care of our anonymity even if you don't using for illegal things.

There are many problem if you give your KYC to other people or any website, such as :
1. Using / giving personal information can attract criminal to hack your account. Usually many account only make password from his personal information, like his full name, born day, or maybe email. With your personal information they get using that's data to try hacking your account

2. Imagine if you already giving your KYC for untrusted or scam project. This project can use your personal information to make a new project and scamming other people money or any illegal purpose. After they successfully scamming people, they will run with the money, and you can get caught by police or FBI

There also another thread explain about Why KYC is extremely dangerous – and useless