I believe it does. I know when we played at Vandy, the question was asked to Corbin whether we would have played any of those games that weekend on a natural surface. He said probably not because we were locked in by the TV schedule Saturday. Otherwise the only way to have gotten those games in on grass/dirt would have been to doublehead earlier Saturday.
I don't know how firm that is but I gather that it is at least very frowned upon to play early due to the chance of unplayable conditions.