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How come some sites give you the option to Rabbit Hunt then? Poker.com does it. Does this mean the Rabbit hunt isnt really what would have been dealt?

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Because some people love to rabbit hunt, and the poker sites try to cater to them. You can allow rabbit hunting whether or not the card is already "decided." If the river hasn't yet been selected, and the hand is over, and the winner decides to rabbit hunt, just have the code spit out one more random card. Whether the card was picked in advance or after the request makes no visible difference to the players -- it's impossible to tell by watching the game -- but the ones who enjoy it get to have their fun.

Personally, I think it's a little cruel to the suckers. They live and die not on what might happen, but on what did happen. If they fold 44 on the flop and see a river 4 would have won for them, they bitch and moan and try all the harder to stay in with 44 next time. Smart players look at the fact that someone else had JJ on the flop, and know they did the right thing by folding. Period. It doesn't matter what came on the river; the decision to fold the flop was correct.