Think again. If you're holding two aces, and it comes AAKKK, and the other guy is holding the remaining K, what do you think would happen at the river? Both all in. Big pot. And you win, absolutely. Just depends on how the hand is played. Like maybe placing small bets (taking small settlements) till the river..... And, after this play, the game is over, and all remaining players just hand you their money.
SGE