And if it were a counter-offer, you're most likely looking at a denial rather than withdrawal. This is how we would handle it:
If they applied for $100,000, requested to increase the amount to $110,000, then later withdrew prior to a decision- this would be coded as withdrawn for $110,000.
If they applied for $100,000, the bank for whatever reason tells the applicant "$100,000 isn't going to work, but we can do $110,000" then you have denied their original application for $100,000 and countered with $110,000. They later "withdraw" and the loan does not close (they didn't accept your counter offer)- this would be coded as denied for $100,000 because you told them you couldn't do the $100,000 loan amount.