This really surprised me. In my experience, usually a flaky test indicates some kind of race condition, and often a difficult-to-reproduce bug.
In the past year, we had a flaky unit test that caused about 1-2% of builds to fail. Upon fixing it, we learned it was what caused a deadlock in a production service every 5-6 months. As a result of fixing this one "flaky" test, we eliminated our biggest cause of manual intervention in our production environments.