Voiding on the original issue date is generally considered the correct way to do it so that your cash account is correct as of that date going forward.  Why do you think voiding on any other date is correct?

The original checks were issued in 2020, which has been closed out.  The vendors never received the checks, so we voided the original and reissued payment.

The original checks were issued in 2020, which has been closed out.  The vendors never received the checks, so we voided the original and reissued payment.

I have to disagree with BigLouie on this one.  Reverse the check current date especially if it is after month end.  You will have less issues with the bank reconciliation and with prior period financial statements.  You say the GL posting date is correct so all should be fine.