When the software writes Zero Balance adjustment records in the General Ledger, does it also write e

For years we have been reconciling the Cardex with the General Ledger and have always had issues where the inventory goes to Zero but there is a cost value left (be it positive or negative).

The system writes General Ledger entries (using AAI's 4126 and 4128) but doesn't seem to be writing a Cardex entry to clear the balance from there.

Should it be writing a Cardex entry?  And, if so, can you think of any reasons why it wouldn't be writing them?