Civ has some balanced maps, and your mod made combat non RNG dependent. Btw, how did that go? How were the games? Did you enjoy them?
I would argue civ has no balanced maps, possibly aside from that script I downloaded from the RB crew which I've yet to test. Even "mirror" is definitely not balanced unless you're literally doing 2v2, 3v3, etc since while it mirrors land, it does it across one axis only and will not space land evenly between civs on a side (and certainly not resources).
My preliminary experiences with the mod were positive, but I never got to test its potential rigorously (IE no PvP). AI doesn't handle it particularly well, though you can still lose if you get early DoW'd with an AGG nearby or someone runs away and can crush you in #'s on high levels...so not nearly as different as some arguments here imply. I wasn't sure about combat damage (fights generally caused a ton of damage unless the difference in str was very large). I mostly play forum games though, and thus heavily using a mod that meets such resistance forum side is a major snag.
Keep in mind that in system proposed by TMIT, the unit with 10 str will receive quite a lot of damage from that combat. This isn't Civ1.
You'd be absolutely redlined, to the point where I'm not sure the 10 str unit could beat a scout afterwards, and it definitely couldn't beat a warrior.
By the way, the reason chess is such an awful and ludicrous comparison even to deterministic combat civ are the other factors in civ. In chess, you are never forced to make decisions with incomplete information. In civ, you absolutely must do so unless you cheat. Imagine how chess would play with a fog of war, such that you couldn't see anything currently out of the range of a unit's movement potential! That would be a very, very different game from chess, even with identical pieces.
But civ IV has far more potential moves, a variable board, and incomplete information beyond merely the location of opposing players. Taking RNG out of combat leaves the game absolutely nothing like chess, which is why the comparison gets tiresome (well, that and its sheer usage rate)

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On a side note, if you want to be a real jerk, fire up yahoo chess and chessmaster. Play as your opponent in chessmaster, and copy the chessmaster's moves into yahoo chess. AFAIK, that's the last time I willfully cheated in a video game, a good 10 years ago now. I had a bad end to a relationship, and I'm going to use that as my excuse lol. Obviously, even very good players can't handle the huge depth the AI can on a short timer

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