I don't think it is fair for the tenth best team in the country to draw the best team in the country when there are bots that draw other bots.
I think something gives everyone exactly the same chance of a given outcome is inherently fair, by definition.
And this still doesn't change the fact national tournaments do a pretty good job of allocation the championship to the best teams in the country, which means you're trying to fix something that's not really broken.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."