I understand the point you're making don't worry, its just extremely flawed.
If Crawley were playing Chelsea in the 2nd Round of the League cup, do you think Crawley would prefer to play them at Stamford Bridge or Broadfield stadium? Your point seems to be that Crawley have a better chance of winning playing them at Broadfield. Really? I would question that, but even if it's true, I think this would be marginal. Would this potential marginal increase in their chances of winning, be worth sacrificing: 0.45*(~42,000 - 6000)*price of a ticket? A rough calculation tells me that would be the difference of £500k, just to play at home?
That's a huge amount of money to a team like Crawley, and I think you'd have to be mad or stupid to think they would prefer a home game....
Firstly, I think that's a slightly different point to Ranjit's. His was around the seeded teams being automatically at home, yours seems to be about there being seeded teams at all?
If that's because of wealth distribution as you say, I don't really follow that logic either. If we were drew against a league 2 team, then a league one team, then a lower end championship team, and got knocked out....we'd have had what, a cumulative attendance of....30,000 maybe? (5k first game, 10k second game, 15k third game?) I think the chances of having that kind of attendance is pretty similar to if we were drew against a seeded team no?
Taking money out the equation (if only...), then I would understand an argument against seeded teams if it's just for the joy of having a cup run.