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The credit report exclusion period for both a charge-off and a collection is based solely upon the date of your first delinquency on the OC account, after which you remained delinquent until the account was charged-off or placed for collection (DOFD). See FCRA 605(c).
No, making a payment will not reset the credit report exclusion period/date.
If you reach a settlement for less and pay, the debt is then zero.
There is thereafter no debt, and thus no account receivable, upon which a creditor or debt collector can thereafter receive payment.