Why is 2-2-1-1-1 more fair than 2-3-2?
It depends on what the goal is. If "fair" means "even", 2-3-2 is more fair, because the possible home field advantage outcomes are evenly split -- 2 or 3 home games for each team if a series goes 4 or 6 games, with one team having the advantage if the series goes 5 games and the other team having the advantage if the series goes 7 games. If, on the other hand, the goal is to provide the best reward to a higher seeded team, then 2-2-1-1-1 is more "fair", because then the "rewarded" team will have more home games if a series goes either 5 or 7 games (with an even split if the series goes 4 or 6 games).