1. Warlords and its official mechanics is not relevant.
2. Civ/BTS is the game of which we speak, BUG is a user made non official MOD.
that benefits the player.
3. "anything that saves time is a cheat" no. any mod created by a user to
save time or otherwise alter official Civ/BTS gameplay is.
Well, I take it that this is your updated definition now.
It runs into two problems:
First, like rolo already pointed out, it judges the very same change differently with regards to who did it. If a modder implements a mouse-over that makes information easier accessible, then it's a cheat. If Firaxis does it, then it isn't.
Second, and imho even more important, you're now saying that *mods* that save time are cheats, but other actions that I could take to save time aren't. Hence, if I were to use a mod that would increase the calculation speed of Civ (and thus save me time), I'd be cheating. However, if I achieved the very same effect by buying a faster PC, I wouldn't cheat by your definition because I wouldn't mod the game. Your criterion labels the very same effect (saving time) as a cheat in one case, and as not-a-cheat in the other case. Hence, it doesn't make much sense as a criterion.
Third, you now bring a further criterion into play: You say that BUG is specifically created to aid players in playing Civ, while glasses aren't. So, when I write a mod that enhances the contrast of my graphics and make things like goody huts more noticeable, then I'd be cheating, because I'd using something specifically created to aid players. However, if I'd use my graphics driver to do the very same thing, it wouldn't be cheating by your definition because the graphics driver wasn't created specifically to aid players playing Civ. Again, the very same effect gets labeled as a cheat in one case and as a non-cheat in the other case, which shows that your criterion isn't working very well.
Do you want to improve it further?