There is a significant misconception in that post:

"If you change the implementation of your project, some of your unit tests will break, without anything being wrong with your project"

That is a big but common mistake! You don’t change the implementation for intentional behavior change before you change the test.

See, in TDD the tests define the behavior of my units. If I want anything different, I define it within my test first. Red, refactor, Green.

I know, it takes a lot of discipline to do right, but the benefits are immense.