Limited Atonement

From CARM podcast 1/18/2011:

THE ASSERTION
Jesus died for every last person, not just the elect.

COUNTER-ARGUMENT
If Jesus died for all, then no one would go to hell, since every single person's death sentence would already have been paid for. But people still go to hell.

QUALIFIED ASSERTION
Well the penalty's been paid for but it's up to the person to accept it before it takes effect.

COUNTER-ARGUMENT
Um no... Consider this analogy: A man is on his way to the bank to pay off his mortgage. On the way to the bank, he suddenly gets into an accident and falls into a coma, and stays in the hospital for several months. Later, he comes out of the coma, recovers, and goes to the bank again to pay off the mortgage. At the bank, he gives his check to the the bank teller, who looks up his mortgage info and then proceeds to tell him that some anonymous philanthropist has come in during his time in the hospital and paid off the entire mortgage. There is no more debt against the man; he owes nothing. It doesn't matter whether he accepts or believes that a benefactor did this or not. The fact of the matter is that there is no debt anymore. It is a legal thing, not subject to one's belief or not. So... if Jesus already died and paid off everyone's debt of sin, then why would it be up to us to accept it before it takes effect? Absurd...