The race is important for he look and feel of your map, especially if it is more of a high-end map. Your race decides what voice you hear when an alert pops up. (and possibly the worker idle icon, not sure) So if you are playing a map and you have a hero who is a dark Templar, it will look and sound bad to be the zerg race. Example:
your hero: hi I would like to buy the rune of healing
computer: we need more minnnneerrrallzzzzzz.
your hero: ??
So yeah, its not super important but it would be nice to change.
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