Interesting perspective, but I'm surprised that you're lumping in "controller level" tests (i.e. unit tests) with tests against the view.

While I'm definitely on board that tests against the UI are brittle, I feel like unit testing individual methods and classes ensure your code is modular and functions as designed.

Integration tests are great, especially since they more reflect how a user interacts with the code, but I think you can get a lot of value from unit tests without getting too religous about it.