On the topic of whether balancing the game is good or bad, my contribution is that a Civ game where you can genuinely keep an open mind about your tactics and strategy depending on land, AI opponents, access to resources/luxuries, global diplomatic developments etc is a far better experience than a game where there are clear power spikes and optimal strategies irrespective of the aforementioned variables. I'd score Civ3 extremely highly on how it makes this possible. Every game feels genuinely unique.
I'm currently replaying a game (2x human, 6x AI) on the same map as my last game with the same starting locations. Purely due to the different AI Civs composition the game is much more culture and tech focussed rather than the bloodbath of the previous game. Even something as simple as what islands and continents the game focusses the barbarian spawns (which differs from game to game) has utterly changed the decision making and outcomes of both human players and the AI.
Yes, balance is an interesting thing in Civ3.
Again, for the early parts of the game there's not a whole lot in it with regards to optimum strategies.
For example, going for a 20k win you really don't gain a huge amount by choosing either Republic or staying in Despotism:
A more classically recommended rush-to-Republic stab at a minimalist 20k win:
Sees a 1768 victory date on Regent.
The rushing of techs here was massively slowed by the fact that the Hittites took to very early aggression on our four-civ'ed island and took out the Persians while I was still busy learning Literature after the Republic jump and so was in no shape to contribute.
From then onwards the Hittites had their eyes set solely on me, they didn't care about the Spanish to the north of the island. I saw a massive stack rushing towards me and I had precious few military units even by this point. So I rushed to fill the Mountains with Pikemen. The AI refused to attack even a single Pikeman and instead simply kept shifting its army around looking for a gap in the defences. This classic AI lolfest gave me the opportunity to build lots and lots of units while I opened one gap and then closed another, watching the AI posse go back and forth.
Unfortunately, the AI finally managed to send a Galley my way and land a Medieval Infantry on a Mountain near London. I rushed to fill up those mountains as well, but it was too late, his MI finally had a chance to strike at London, thereby declaring war. From which point the AI Swordsmen then carved through the Pikemen in the Mountains like butter. But by that point I had a big enough army of Knights and Trebuchets and Pikemen to stem the tide.
My economy was in tatters though and I was down to about 9 turns per tech by the time I was racing towards Democracy & Free Artistry, what with the War Weariness eating up so much Happy Slider and so many units eating up the Tax Slider. I decided to finish off the Hittites just for the revenge factor even though it was fairly pointless by that point as I nearly had the 20k anyway. The Spanish took up half the space stack and they are now 'annoyed' with me in the screeny.
The conversion to Republic here seemed vital as I couldn't very well take full advantage of the mining opportunities otherwise, what with Despotism taking so much food away from a Plains start.
As you can see, the game ended just as I was building the Theory of Evolution.
Meanwhile, just a week earlier, I found myself in a 20k game where I never really got an opportunity to get out of Despotism:
Once again starting on a very congested island, this time with three of us vying for space.
As you can see, this time it was the Carthaginians who constantly pressured me, but this time it was me who was attacked first. Hmm, or did I pre-empt the attack after Hippo was settled? Can't remember now, either way I found myself in a very stalematey situation whereby my Swordsmen couldn't make much headway into those brutal Carthaginian unique Spearmen.
It didn't seem to be denting my cultural bottom line though, and I was still able to learn techs at an adequate enough rate to continually have London produce the 'big' wonders. The war raged on and on and London just slowly continued to build its wonders. With no War Weariness and a very generous unit limit my Science Slider was pretty consistent and, once again, I was at about 9 turns per tech once I got to the Democracy/Free Artistry stage of the game.
With London being pretty much all Grassland with only two Hills, there wasn't really any huge incentive for me to leave Despotism either, as it would only garner me two extra Shields, which, when you factor in the potential lost turns to Anarchy, probably isn't that much of big deal in the long run.
And I got a 1792 finish, which, in the grand scheme of things, isn't really that much different to the Republic game above, it's just 12 turns difference!
And, as you can see, I'm, once again, just starting to build Theory of Evolution when the game ends. In both screenshots you'll notice I have exactly 6 turns to Replaceable Parts as well.
As you say, the two games felt completely different and played out completely different, and yet they were both so remarkably... the same!
And that's one of the appeals of a 20k game, at least on the non-absurd difficulty levels, in that it only matters that your capital can produce lots of shields and that you can learn tech quick enough to be ready to build the next 'big' Wonder or cultural building in a timely fashion. How you can achieve that is very numerous in its variety.