I usually use the term “smoke test” for those.
discourse/spec/phantom_js/smoke_test.js at b3965eb06994fbe11b5a945efc99b136714b3fe3 · discourse/discourse · GitHub has got to pass for a build to be stamped with test passed.
We have “integration” tests on the server that look at end-to-end server behavior. And “integration” tests in qunit for end-to-end client behavior.
But the “smoke test” is the only test we have the glues everything together and tests a real production instance.