I see that you've asked this question in a different way.
Since in your other question you were referring to a short sale...
Your agent, if he is seasoned and experienced about short sales should have explained this to you.
Regardless of whether or not you can close escrow sooner is not the issue here. Short sales will take longer to process, anywhere from 3 to 6 months, or even longer. It's not a matter of the owner staying longer at the house. It's when the seller's lender approves the short sale price, terms and conditions.
Furthermore, the seller can choose whichever offer he wants, especially one that has the best chances of being approved by the lender --- and sometimes, those chances are vastly improved when the offer is the highest. That's because the bank would want to get the highest possible offer since the bank would want to recoup as much of its investment as possible in a property that is being sold for less than what is owed on it.
But please discuss this with your agent. If he is not knowledgeable about these matters, perhaps you should get another agent who can better help you and explain what a short sale entails.