I have "civ2.exe" (6 992 bytes) (copyrighted by Timofeev and Popov, Moscow, 1993) which is different from this "MultiCiv.exe" (304 512 bytes). It indeed works only with v01, but you actually can mix human and AI civs. And you cannot see uncovered terrain of the other player, if you updated your view with mouse click. And about problems, I remember that sometimes other human player can receive a "free" wonder of the world (just like AI civ can), and also you can "talk" with other player's king, which is not always ideal, but that's how it is. Default tax rates for additional players are also like the ones for AI, 1lux/5sci/4tax or something like that. For end of turn, you should press TAB instead of ENTER, and "end of turn" option should be disabled enabled.
Are we sure we do not have this civ2.exe in civfanatics vaults somewhere?