Since you make those videos and i have you at hand, i would love to watch historical accuracy videos on matrix's war in the pacific admiral edition, nobunaga's ambition, command ops, histwar, and the like.
As to your question i think that the most detrimental thing to the game historical accuracy is simply the overall scale, the relation between units speed, scale and the maps, and the battles lenght just makes those battles more of a skirmish to me than say some of the hps games where, admitably with mechanics that tend to appear only in turn-based games, you feel the scale, the losses, the weight of your decisions much more, much more than you do in this one. The battles here don't seem as massive, as crucial, as costly as they usually were, do to the game mechanics.
It's just the nature of the game to allow for anyone to pick it up and enjoy in real-time in a short time with some nice graphics that doesn't allow the level of historical accuracy that some other games have, but because of that it's also easy to close on eye on those imperfections.