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The next best thing to a PFD is a settlement for less, provided they agree not to report that you settled for less.
Whether you PIF or settle for less, the debt is discharged, and thus they must update the balance to $0.
As stated, they can optionally include a special comment if the debt was settled for less.
As part of a settlement offer, you can request that they make no reporting that the debt was paid/settled for less.
If agreed, their reporting will appear the same as if you had paid in full.
The inclusion of a comment that the debt was settled for less is always an unfavorable comment, as it advises others that you did not pay the enitire debt obligation.
That means the creditor tooks a loss in having extended credit to you.
Upon seeing that comment in any manual review, it could dissuade a creditor from lending to you under the possibility that you might repeat such a practice