I've never actually found a fight which I could win, but not win no-loss. If you restrict yourself to avoiding any infinite-mana loops, then I've had several fights like that. And I agree that those can be some of the most interesting.
As far alternative play-styles, have you considered playing with an all-shooter army? Some of the boss-fights will be near-impossible to do no-loss (I might not even bother trying), but overall your game will be significantly faster, and it would provide a very different style of play.
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