Sry the argument is flawed, to show it, here some numbers from legends post:
Faction Total games
Soviet 3301
OKW 7926
US 3438
Ostheer 5456
http://community.companyofheroes.com/forum/company-of-heroes-2/coh-2-balance-feedback/106966-win-lose-ratio-from-15-9-25-9-2014-much-more
Since that are only the numbers of the best 200 players, that means that the best axis players play more axis games than the best allied players play allies games. But since every axis player needs an enemy, that leads to the fact that the top 200 axis player play often vs players that are not in the top 200 of the allied players. Because of that the axis players win more.
Only if the Top 200 allied players would play as much as the 200 Top axis players we would see the real state of balance. And this most likely means a higher win ratio for the allies since the better allied players would play more and most likely win more.
I tried to address this in the other thread, which I linked to in my first post, but I'll repeat it here and save you some time. (slightly edited from there for clarity)
The difference between the number of played games between the axis and allies in the top 200 could be an artifact of how the data was generated.
If you assume that the Axis is currently over-powered, but once weren't, then you would expect that it would be very easy for players this patch to beat the ELO rating of players who played in previous patches, but have since become inactive. This would result in the majority of the top 200 axis players being active.
The opposite will occur in the Allies ladder, where an active player now can expect to fall below a player who earned a high ELO rating when the game was more balanced. This will result in a larger portion of the top 200 players on the allies side being inactive accounts.
What this would basically result in is that the effective sample size of the axis side includes more active players and is therefore larger, hence the more games played.
This seems plausible to me, since I see no reason why good axis players would consistently and to such a large degree play more games than good allied players. It could possibly be a combination of both effects, but for the most part I think the "games played" statistic is too flawed to use for anything other than a pseudo measurement of sample size.
A second thought why the argument of the OP is flawed can be seen in the leaderbords. If OP is right than the best axis players (1 in his example) would have a higher win ratio compared to the best allied players (A in his example). Here the Quote:
The average win ratio of the 25 Best 1vs1 WM Players is: 0,73
Soviets: 0,74
OKW: 0,74
USA: 0,76
And we see no real difference. That means the Problem that the OP described is not real in COH2 1vs1. It could be in teamgames since we know that here the axis wins more. But than we can go back to my first argument about the numbers played by the best players.
The point of this topic is that people shouldn't expect the global win loss ratio to deviate from 50%, regardless of how poor the balance is. This should be true for 1v1 to 4v4, assuming my two assumptions are met. That being said, the win ratio's you posted do not show any flaw in what I have proposed, and this is not only because what I said should hold true even under perfect balance, but also because those win ratio's are not limited to games played this patch. A large portion of those games played will come from different patches, where balance trends differed. If what I said earlier in this post was true, this should disproportionately affect the allied stats.