"But to say he can achieve the same outcome sitting at the table that he would have achieved had he known what he knows after the fact would be wrong, because he has information after the fact (knowledge of the other guy's hand) which can't be recreated without cheating before the hand is finished."
We can say, however, a different, better player could have achieved a better outcome.
"Just about any poker player will tell you to throw it away, because the general probability of achieving success with that hand is terrible. However, if the flop was, for example, two 7's and a 2... the general community would have been wrong, despite their advice being good."
What happened to the human factor? Your whole point is that the human factor is a significant influence, which I agree it is. This is our world:
The cards are shuffled by dealers; the dealers shuffle very differently from each other and certainly NOT how a machine might; the dealers in small houses are usually in on some cheat with some of the players and everybody knows this and so smart players stay clear of those houses; the dealers are themselves playing hands on behalf of the house and they get paid out of cuts of the house's winnings; In this world, if you are going to beat the odds then, you either have to be a really damn good poker player, be working for the house, or be cheating with the dealers in some of our more disreputable houses.
If a house is to make any money, their dealers have got to play on behalf of the house; to attract high-stakes players, they either have to cheat and NEVER get caught or they've got to attract the best poker players in the world to be the house dealers / players. As they only need to get caught once for them to go out of business, they can only attract the best poker players if they don't cheat or keep the cheat a secret. More often than not, the house doesn't risk engaging in cheating because it is so risky. A reputable house has got to be able to attract the best poker players in the world to play as the house's dealers if it has any hope of making enough money to sponsor the truly high stakes games that big-shots want to play.
Big shots want to play with the best players in the world, because they want a chance to learn from the best, become the best, and prove it by wonning, winning, winning, and winning at the highest stakes games in the world.
The problem is, recently, some previously reputable high-stakes houses were caught cheating; high-stakes players are moving houses; the house's dealers are quitting, and finding other houses to play for, or even starting up their own houses, and the old previously reputable house owners are pissed. Well, too bad. It was their own damn fault for cheating / letting cheating dealers into their houses.