Refinishing hardwood with many screw holes?
you will never make them disappear, I ran into this on a kitchen before.
Was some underlayment with vinyl installed over hardwood. And new hardwood was already in the budget, other then the holes, old floor was in good shape.
We had the flooring guys spend a day sanding it. Problem was, the nails.screws had left black rust marks in every hole.
Even with putty, was no way to get rid of them and every one would stick out.
Will it work? Yes.
Will it look good? depends on your definition of good.
If it was easy, we would not call it work!