Great question! Personally, I am more interested in the different ways that people
perceive the issue and the way in which they
frame their responses to what they perceive the question to be.
Take an example- imagine you are playing an old-school version of D&D, and the party encounters a "classic" Banshee with a save or death wail. A player rolls a 1 and dies. Did the player have no control over it?
Arguably, yes. But some might say that the players (the party) could have done a number of things prior to the encounter- they could have scouted the area better. Done research. They could have contingencies for Banshees (earplugs? silence spells?).
You can go round and round on the issue; it's like the young guy who says, "I was late for the job interview and lost the job." And the old grumpy guy says, "That was your fault." And the young guy says, "No, it wasn't. There was an accident and traffic." And the old grumpy guy says, "Well, if you really wanted it, you would have left a few hours earlier." Etc. Is either of them right? Are both of them wrong? It really depends on your perspective.
In framing this, I would say that
arguably there might be situations beyond a player's control; sometimes, no matter how well you plan, no matter how "skilled" your play, no matter how imaginative you are, you're just unlucky. You can try and stack the odds in your favor, but sometimes you just get that 1 (or succession of 1s) and you're S to the O to the L.
For some people, that's exciting- that's why we have dice. Best laid plans and all that. For others, it's infuriating- that no matter what you do, you can still get the shaft.
I think that the way that people approach the question is actually more interesting that the final answer that they give.