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A revolving account that has been charged-off is almost invariably already closed to use by the consumer.
Creditors dont leave seriously delinquent accounts that they have charged off open to additional bad debt accrual by way of additional charges.
Once paid, you will no longer have monthly reporting of the account that will extend your payment history profile with positive reporting.
You will have a paid, closed account that will thereafter not update, and thus will not have updated reporting of an unpaid CO that will continue to keep your payment history score depressed.
Once the charge-off has become excluded at approx 7 years from DOFD, the CO will no longer affect payment history scoring.
Obtaining a GW deleiton prior to its exclusion date will remove it from payment history scoring earlier.
However, you normally would not want the entire account deleted, as closed accounts are also included in your AAoA calculation.
I would purse GW deletion of derogs reported on the account, and not deletion of the entire account, unless the age of the account is substantially less than your current AAoA.