At least I had assumed there had been times in baseball and softball where the #1 seed didn't end up hosing the region for various reasons. I do know of 1 example (JMU vs. E. Kentucky) in the DI Football Playoffs (aka FCS Playoffs) where the higher seed had to play an early round game at the lower seed's stadium because the lower seed had submitted a higher bid. Naturally the higher seed was still designated the "home team" that day even though just about all the fans were there to support the "visiting team."

Also, I knew the College World Series (baseball and softball) was structured so that the regional games alternated which team is the home or visitors. It was another reason why I was curious about the advantaged gained by hosting a region vs. the disadvantage of traveling to somewhere else to play the regional games. I guess I didn't think there was much of either unless the region was being played in a stadium at a higher altitude that could impact the flight of the ball (i.e. Coors Field) or more prone to high winds/sudden shifts in the wind pattern. I will say that fans didn't cross my mind because I assumed during the regular season most teams don't play in front of a large crowd, so they may not be as influenced by suddenly playing in front of a large crowd during the regional games.