If the buyers want to stay in the house so bad, why not have them rent it for a month before purchasing.
I devoted some time to explaining this matter last year (above); but it may bear some repeating and elaboration:
Homes
ARE NOT like Used Cars, sitting on a lot, and no longer used by their former registered owners.
Homes cannot be taken out for a quick test drive around the block . . . . or maybe used for a weekend trip up to the mountains to see how they perform.
Occupancy by the current Owner of a Home typically endures right up to the point of the Closing and Transfer of Title; and it continues to be available for consideration by other Buyers right up to the point that a "firm" P&S Contract comes into being.
From a practical point of view, this suggestion is froth with trouble; but having the Seller vacate the property and tender occupancy to prospective new Owners, for any length of time, would bring with it all of the issues currently faced in the rental business PLUS the legal entanglements germane to the actual buying and selling process.
If it were so simple, and if houses were ordinarily vacated while they were being marketed, then in the interest of facilitating the sale, it would be routinely done . . . . but it is very doubtful that it would help at all.
But go ahead and try it out for yourself (with your own home).