If you look at the european factions, almost every one of them has some sort of unique traits/buildings/units/etc that aren't accurately reflected / not reflected at all in-game, so while you're right in most of your analysis of the turks, I'm afraid one could write up a similar article on every faction and request that it be made more unique. I'm sure CA have their limitations ;)
One thing I don't agree on is the analysis of turkish troops. I think they're quite close to being balanced relative to other factions. The thing with quoting historic events is that there are a lot of variables and you can very easily spin the details in your favor. I personally think the balance with european heavy infantry+cavalry superiority and eastern horse archer superiority is pretty good.
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