Regarding 0 training time, I think that would be acceptable for the mere levy units: peasants, militia etc who are relunctantly called upon in times of desparation. Perhaps if public order suffered a large blow if you repeatedly summoned up levy armies, it would offset some of the advantages of being able to produce so many units fast. Although in RTW public order goes up instead because you're reducing the population, thus reducing squalor and need for a large garrison.
Having fully trained and elite soldiers trainable in 0 turns I don't agree with, and you could just walk over the enemy depending on whether or not you have a) lots of money at the time and/or b) advanced troop buildings in that area. You could just churn out dozens of legionaries or cataphracts or whatever and blitz the AI without a second thought. The AI would also need to be able to handle mass producing units and I don't think it could ever be as sneaky or forward thinking as the player in that respect.
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