Which computer claims an advantage for white anyway? I'd like to know which program matthew is using.
Whichever one it is, notice that it's not a "chess oracle" which only speaks the truth as whichever chess engine you happen to be quoting will lose games even against itself. That fact that it will lose as white means it's evaluations are not as if they were from an oracle.
Better yet, load nearly any drawn endgame into an engine and see what its evaluation is. If a computer can't correctly evaluate a position near the end of the game, why would you trust it to evaluate the opening position when there are exponentially more lines to calculate.
Or perhaps you could look into how programs play chess in the first place, and how they're not turned to evaluate opening positions in the first place.
I mean there are so many examples but this is already on page three.
As for the statistics again why are you trying to use something like that to predict the outcome of a perfect game? Those stats aren't even related! TheGrobe puts it nicely when he points out that 0.15 is closer to zero than it is infinity.
Although if you're so fond of statistics, notice also there are more draws than wins in top level play. (Although again this is a bad example for a number of reasons).

In summary: The entire premise of this thread is based on a flawed understanding of what it means to solve chess and of what computer evaluations represent and how they are calculated.
Solving chess means a super computer with every possible position in it, and it would have to know what to do at these positions. Computers say white has an advantage, if you have any advantage you will win with perfect play.
Computers say white has an advantage today because chess is not yet solved. They too are currently working with imperfect information and are making assumptions. Assumptions that may well be wrong. It's not like someone solved chess to arrive at the +0.15 analysis and then we all forgot.
Once chess is solved, the starting position's correct evaluation will be only one of three possible values:
-∞
0.0
+∞
The current "best guess" of +0.15 is a lot closer to 0.0 than it is +∞, and most people who understand these things agree that chess is most likely a draw with perfect play.
Also, given that K+N vs. K (or K+B vs. K) is a 3.0 point differential, but still dead drawn, I think it would be wise to let go of the misconception that any advantage, no matter how small, can be converted to a win.