Hi Lulu
What does it mean "our bookeeper wrote off this liability in the GL"? If he/she debited the AP account without writing off the balance on the vendor's account, then this is a mistake because the AP won't tie to the GL control account.
The system date you choose is totally irrelevant.
What you are asking is more of an accounting question rather than a Adagio question, one that requires some background knowledge about what where your books currently stand. You should discuss this your accountant.
Steve