QA has an unconditional veto in our workplace. If it does not work, it does not ship. But we work in public safety, so delaying a new feature a week is less of a problem than potentially messing up your criminal record.
I read the Tales from the Trenches archive over the course of a weekend, and one recurring theme there is the non- or misuse or QA. There is not much benefit to doing QA if you are not going to act upon the resulting information. (Bonus points to the companies that fired testers when they found serious problems.) When we incredulously ask, “Did anyone test this?!” the answer is often: “yes, and we reported the problems, and they shipped anyway.” And then they sob.
Reading through Tales from the Trenches, you can decide who has the worse job: testers whose work is ignored or testers who are denied work but must sit in featureless boxes if they want their paychecks (presumably “and no goofing off on company time”).