Based on the original post there was no counteroffer. They simply told the applicant they can't make the loan as applied for but they would reconsider the request with a co-signer.
If the applicant produced a co-signer for consideration then they reinstated their application and the FI has an option how they report. See Application date—reinstated application on page D-9 of the GIR.
Depends on what your denial reasons are.
Per FCRA, you need two.
Where in the FCRA does it mandate 2 denial reasons?
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The opinions expressed are mine and they are not to be taken as legal advice.