"By July 2012, League of Legends was the most played PC game in North America... over 7.5 million [players] concurrently during peak hours."
Assuming each person plays 2 games, that means that there will be 1,875 matchups like that during the peak hours alone, according to your statistic.
Are you really saying it's okay to waste 20+ minutes of 16,875 players' lives each and every day in NA alone, rather than keeping a system that hurts no-one? Think about it: that means that every year, 2,053,125 hours of player time will be wasted for no gain other than trolls' enjoyment. And that's assuming the statistics are the same now as from 2012. I'm willing to bet there are more players now than there were then.
I don't even understand why you want the names removed. If you had a bad experience with someone, shouldn't you have the choice to not play with them again? You make no sense.