Well, on average they balance out, but you're not so much interested in the average as you are interested in your team.
Well, I do have a personal bias for what's happened with my team in particular, but to say on average it balances out is to say there's as many teams without home games through 6 rounds as there are with at least 1 home game, and I think it's fair to say that's not the case. So I wouldn't say it balances out, but rather that there are anomalies. And while I'll admit that probability does result in anomalies, I would like to see some work done to try and avoid anomalies as much as possible, so something like this doesn't happen.
@Edju, sorry for jumping the gun on you. I unfairly inferred you were being defensive because I was calling into question the game mechanics. Yes, I will readily admit from my time in BB that you guys are pretty responsive to suggestions from the community.