No even if the told the lender it wouldn't reopen the SOL.
1. The dispute is between you and the agency, that you're not disputing it with them doesn't mean you are not disputing it with the lender.
2. The fact that you believe the debt was valid as stated doesn't change the fact that it was time barred now.
3. You'd need to acknowledge the debt exists now (either by explicitly saying that or by making a payment).

