I fought the demo battle several times and I have not found the problem mentioned here.
Running speed of infantry is indeed fast but walking is not fast at all. Morale works, flanking works. I have not seen insta routs unless you put your lone ashigaru in front of the whole enemy army. Supported units fight and samurai units fight for a reasonably long time. Ashigaru die fast, but they are peasants. Horses running around are actually the horses of dead samurai, i.e. out of the game anyway.
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