Does anyone here play on a LAN? Question about movement

[New_to_civ]

I am thinking about buying Civilization IV, but have a question first. I currently have Civilization Complete, but am having problems seeing enemy movement when playing on a LAN with one human player and several AI opponents.

Do any of you play on a LAN, turn-based, with two computer players and multiple AIs? If so, is each human player able to see the enemy movement…slowly?

(With Civilization Complete, after the second player hits END the computer starts showing the enemy movement at mach speed on both computers making it impossible for either human player to catch all the activity. I’ve heard it’s a bug.)

I’m hoping this doesn’t happen in Civ IV. I’m at my wits end, so please, anyone….tell me there’s hope!