There are a myriad of preferences out there, and asking stores, publishers or developers to label their games for all of those--or even a significant subset of them--seems infeasible.
I may have been going overboard from the original topic's QT boss fights.
I am specifically saying interactive movies aren't traditional games, they aren't even playing by the same rules as SORRY (randomization ftw), randomization actually, that could be the missing link.
Servant refers to golf swings as early QTE implementation, ok I haven't thought a lot about it, but there are other examples. On-rail shooters, virtual rollercoasters, and scripted events that last longer than a microsecond. There's a chance to randomize them, but they're baked in like a chef would bake in the 1960s, the way they like it. Goodbye personal diversity :'|
In all these cases you're seeing a very specific type of game. On the broader spectrum there's QTE's as an alternate game-mechanic, not the entire game, while playing you see a very different game emerge, one that's based on reflex memorization rather than what you should already know. Going back to the QT boss fights, the climax of every story arc is usually a boss fight. It's a pretty important part of the game. Suddenly you have to think differently, play a different game, and accept it to enjoy it?
Look at how the drakengard 3 game plays. Look at the final boss, which works very differently.
You could implement a QTE that gave randomization, but would it feel like it had randomization? Even when it really does that'd defeat the skill and destiny aspects of the ingrained movie driven experience.
Consider this impossible anecdote for what I think would be comparable: Horror is a new trending type of game and Scaryfluff knows how to make a realistic fantasy game. Players ride through the forest on horseback. After about 2 minutes of voyage the horse stops, the camera zooms in on the horse and then there's a snap noise, the camera goes red. Scaryfluff knows loyal customers who dislike horror (and those that love horses) will forgive them later, even if they quit the game forever, right away. For the horror seeking customers, this is a delightful surprise they were tricked, everyone should play it.