Um... no. Niether of them are competent tacticians, Civ4 has an advantage in the system being more forgiving of mistakes, but the GC2 AI is vastly superior in management aspects. Civ4 basically masses units and throws walls of them at you. I can beat noble difficulty till hell freezes over. I have trouble with challenging in GC2 on larger maps.
I don't think that GC2 AI is "vastly superior" in management. First, GC2 hides information from players so it's much harder to make decisions what is efficient and what isn't. Since AI knows all hidden information and players don't have any manuals or in-game help that explains how GC2 economics works, GC2 AI seems to be more efficient than most players who don't want to waste time re-creating information that should be in the manuals or in-game help/tooltips. Obviously, it's not the AI efficiency, it's just another way of cheating.
Well, Civ4 AI isn't a competent tactician because it shouldn't be a competent tactitian to play a singleplayer match. It creates a stack of units and attacks a chosen target, sometimes it pillages land. Tactician skills are required in an "always war" Civ4 MP matches, but most players who play singleplayer hate that kind of gameplay anyway. They prefer empire-building and big decisive wars, and Civ4 AI is good enough in that aspect.
I don't understand what do you mean by "Civ4 has an advantage in the system being more forgiving of mistakes". May you specify it?
Edit: I just realized you were comparing GC1. Maybe... I seem to remember getting my ass handed to me there as well.
Well, i was able to win in both GC1 and Civ4: Warlords on highest difficulty. I'm not sure if GC2:Twilight of Arnor AI is any better overall, but it makes undefended resource starbases on my territory when we're at war. At least Civ4 AI doesn't send their workers to the enemy territory...