I always think it is really interesting when there are heated arguments that boil down to this position:
Person A: I think maybe x
Person B: it's not x! It definitely isn't X, X IS NOT THE CASE, is NOT NOT NOT and you are a BITCH for suggesting it
Person A: oh ok, you think not x, why? what do you think?
Person B: stop trying to make me do things I don't want to do, stop trying to control me
Person A: I don't want to make you do anything, I am just thinking about things
Person B: well DON'T think about them DON'T DON'T DON'T
person a: why?
Person B: because - because - because - IT DOESN'T MATTER!!! LEAVE IT ALONE!
Person A basically has no choice at this point but to wander off scratching her head, at the overheated and absurd situation of being ordered not to think about something by someone who is very very upset because - it apparently "doesn't matter"?
What it really is, of course, is that person B has chosen not to perform certain acts of analysis for certain very good reasons that matter to their personal modus operandi. they need certain things to be unexamined for a certain level of comfort. having someone analyse these things in their presence drags them into an uncomfortable space that they didn't want to go into and their emotional objections to this make sense, when you understand them not as defending their personal choice to, e.g., shave or not (which no one was attacking); but to analyse or not (which is now under threat.
In other words, (as with the three year old who says "nothing!" in reply to the question "What are you doing with that pen?") it's a classic case of speaking opposites as misdirection (oh yes, you are definitely doing something with that pen) - when they insist IT DOESN'T MATTER. It means: it matters very, very much to me, that you leave this alone. It isn't: leave it, because it doesn't matter. It is: you MUST leave it and THAT matters very much to me.
Of course, if you have chosen not to analyse, not only is it very uncomfortable to find someone analysing in your field of vision and dragging you into it ("don't think of an elephant!") - but worse, you become an object of analysis. You feel observed and snooped at, as if anthropologists were circling you with notebooks. So there's that too.