It was an effort to set up as I recall -- I think that Starlifter had a hand in it (we had a choice of the 7 ancient wonders) -- might be different with all 28 to choose from. But if we could have the UN, then there would be no need for Marco's; Similar thought for JSB & Oracle...
Now it might make a difference if we ran a poll for contenders (say top five or so) and tried that. Also it would make a difference if the remaining wonders were disabled -- and not available at all -- might be a few Apollo choosers...
Might also make a difference if we were constrained to a particular type of government -- say Fundy or Demo -- or perhaps had the choice -- Game A was Fundy & Mike's (or Sun Tsu, or Leo's); Game B was Demo & Mike's (or Leo's, or Shake's, etc.)