Those statistics do not really provide much support for your argument. First off, if you are going to use average wins per season, you should really only use the seasons they were coaching at their current school, because how they did with other schools is not really relevant. When you calculate the average number of wins a season at their current school York has 24.8, Lucia has 24.4, and Umile's number obviously doesn't change. However this statistic isn't even really that helpful in showing anything, because the number of games in a season is not constant.
The statistic you should look at is the percentage of games won (not winning the winning percentage, because that takes into account ties and we don't want that). Jerry has won 61.3% of his games since starting at BC, 65% since 2000 and 63.9% in his last ten full seasons. Lucia has 61.7% since starting at Minn, 59.3% since 2000, and 58.8% in his last 10 seasons (Note: None of these percentages include this current season). So lately he has been winning a higher percentage of his games then some of the other best coaches, and will most likely continue winning at this, or a higher percentage, and thus further separate himself.