I'd also have to agree. Rewarding micromanagement to such a degree is silly, and I'm much more interested in who can win the fastest vs who is the most masochistic and has the time to optimize their empire for score after the game is already over. 
First to win per each victory type in a casual competition such as this seems to be ideal to me. Heck, even first to win regardless of victory type sounds good, unless you let someone who wins via one method send multiple saves in for each applicable victory type, even from the same game if desired.

First to win per each victory type in a casual competition such as this seems to be ideal to me. Heck, even first to win regardless of victory type sounds good, unless you let someone who wins via one method send multiple saves in for each applicable victory type, even from the same game if desired.