I don't know what this "white hat hacker" stuff is. There's no rule of hats in the law. I know "white hat" mostly as a term of derision, not as a technical or legal term of art.

The problem this person has run into is that they went looking for vulnerabilities in someone else's website without permission to do that. You're not allowed to do that. If you do it, a lot of times you'll run into companies that are cool about it, but a lot of times the companies you run into aren't cool about it. The law is on the side of the people who aren't cool about it.