The notion that "luck evens itself out" is complete nonsense - most batsmen receive more good luck than bad throughout a career, and in Gilchrist's case, believe me (I actually saw most of the instances in which he had luck) he has received far more than his share in his career to date. And it has been much less in the last year than it was in the year before. In the last year Gilchrist has averaged 60 with the bat quite through his own skill. However, he has only been playing Pakistan Third XI, England, West Indies, Bangladesh and Zimbabwe, almost exclusively on dream batting wickets.
In the period of 2000-2002, when playing attacks with a bit more accuracy (and venom in some cases) he got most of his runs (not all, but most) through luck. This period was inclusive of 7 Test-series and, as you point-out, something that happens for this long is probably something which is going to happen most of the time. Every time he was missed, I screwed-up my fists in frustration, but by the time I reflected on it, I sort of resigned myself to the fact that it was almost inevitable.