Years ago I played God of War and really enjoyed the QTE kill animations. It made me feel, well, like a God of War.
I wouldn't be surprised if that's the exception to the rule though. Shenmue had some terrible QTEs (my biggest criticism were that they were unpredictable). Also, too many FPS games have QTEs whenever some animal bites you. It's practically a trope now.
I'm generalizing though. Some QTEs are a form of twitch gameplay (in which they require the player to hit at the perfect time), but twitch gameplay is not a form of QTE. What does set QTEs apart is that they are not, in fact, the whole game but are a sudden change of gameplay style which is gone as fast as it arrived.