Mathematician here. I wanted to agree with @pianoforte611 - just because you have infinite time doesn't mean that every event will repeat over and over.
For those interested in some reading, the general question is basically the question of Transience in Markov Chains; I also have some examples. :)
Let us say that we have a particle moving along a line. In each unit of time, it moves a unit of distance either left or right, with probability 1/10 of the former and 9/10 of the latter. How often can we expect the particle to have returned to its starting point? Well, to return to the origin, we must have moved left and right an equal number of times. At odd times, this is impossible; at time 2n, the probability of this is (this is not difficult to derive, and a simple explanation is given here). Summing this over all n, we get that the expected number of returns is one in four - in other words, we have no guarantee of returning even once, much less an infinite number times!
If this example strikes you as somewhat asymmetric, worry not - if the point was moving in three dimensions instead of one (so it could up, down, forward, or back as well as left or right), then a weighing of 1/6 to each direction means that you won't return to the starting point infinitely often. If you don't like having a fixed origin, use two particles, and have them moving independently in 3 dimensions. They will meet after time zero with less-than-unit-probability (actually, the same probability as in the previous problem, since the problems are equivalent after you apply a transformation).
I hope this helps!
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I think the issue is not as much as unconsciously exploiting it, but more like the amount of pain felt depends on the absence or presence of "training". More here: http://lesswrong.com/lw/59i/offense_versus_harm_minimization/c8u7
Desensitization training is great if it (a) works and (b) is less bad than the problem it's meant to solve.
(I'm now imagining Alice and Carol's conversation: "So, alright, I'll turn my music down this time, but there's this great program I can point you to that teaches you to be okay with loud noise. It really works, I swear! Um, I think if you did that, we'd both be happier.")
Treating thin-skinned people (in all senses of the word) as though they were already thick-skinned is not the same, I think. It fails criterion (a) horribly, and does not satisfy (b) by definition: it is the problem desensitization training ought to solve.