You're not wrong, but a good, well resourced QA org can both help write or develop more flexible tests, and also help fix brittle tests when they do break. The idea of brittle tests that break often being a blocker is predicated on practices like running every type of test on every commit that exist to deal with a lack of QA effort in the first place.
Maybe recorded integration tests are run on every release instead of every commit? Maybe the QA team uses them less to pass/fail work and more to easily note which parts of the product have changed and need attention for the next release? There's lots of possibilities.