That depends very much on what you mean by relevant.
Bearing upon or connected to the matter at hand; pertinent. (Credit to Dictionary.com.)
That's an interesting question and many concerns and areas for response come to mind, but first to clear up something I think might be important. I will frame it in similar language for emphasis -
Is it truly impossible for the connection to simply be highly correlated with the individual player and for alterations to their expectations to drastically reduce that correlation?
Impossible? No. Have I said otherwise? Has
anyone here said otherwise?
It is your position, as I had understood it, that these things are the
only considerations that matter. That they are not only correlated, but causative; not only possible, but that they
exhaust the possibility space. That there are not, and cannot be,
any other considerations than "it's your fault, you did it to yourself" and "stop having bad expectations and you'll never be unhappy you didn't get what you wanted."
For me that provokes intuitions that are revealing of problems I perceive with the question as asked.
I don't really understand how there can
be "problems [you] perceive with how the question was asked." It's literally just: Are you saying it is
truly impossible for the game itself, for the rules and their function (and possibly presentation), to play a leading role in encouraging or inducing MMI?
If you have a problem with the question as asked, that would seem to indicate that yes, you really do think it is
impossible for a game's rules to encourage or induce MMI, in any fashion, whatsoever. That is a position I rather strongly disagree with. I think it is not only quite possible, but
demonstrable with games that most of us have actually played. And, conversely, I think it is not just possible but
demonstrable that there are other games where the rules themselves discourage or restrain MMI. But, just as the existence of certain rules does not carry an unassailable guarantee of issues, the existence of defenses and countermeasures doesn't guarantee there will never be problems. Yet I'm pretty sure no one here would willingly destroy their own immune system solely because immune systems are not 100% perfect at preventing illness (nor even at preventing death by illness), even though those immune systems often cause all sorts of problems like allergic reactions.
Let me phrase my criticism in an analogy. Let's say I said to you, "Cancer isn't an
inherent result of smoking. There are many people who smoked for their entire adult lives and never developed cancer, and many people who never touched a cigarette and still developed cancer." It seems to me that you, like most reasonable people, would respond to that with something like the (much simpler than my above phrasing) argument: "Why does the cancer have to be an
inherent result? Can't it just be highly correlated? Can't it be a
risk factor without being a guaranteed problem? You seem to be saying that smoking is
irrelevant for the question of developing cancer."
To respond to an argument like that with "I perceive problems with the way you've asked those questions" is...well, confusing at best.