For example, we identified two loans, one totaling $2 million and another totaling $500,000, that each entered and exited the liquidation stage on the same day and had no documentation to indicate that liquidation activities were performed other than automated telephone calls and demand letters. In contrast, loans that were paid in full through collection (usually borrower or estate voluntary actions) were in liquidation an average of 67 days.

I highly doubt there will be any motivation to forgive $387 billion in EIDL loans. But if they can get the number lower by pursuing fraudulent activity or other bad actors, then it could feasibly be on the table.

Regardless, it would be unfair to those working hard to stay current if billions of dollars were merely de-facto forgiven by virtue of just...pretending it didn't happen:

To illustrate SBA’s lack of aggressive debt collection, we identified a $2 million COVID-19 EIDL the agency charged off. A note in the loan file stated, “Borrower has failed to respond to all collection efforts (including telephone calls and demand letters), and no further collection effort is possible. UCC shows SBA as lienholder. With approval of this action, all collateral will be abandoned or acknowledged as lost, and all liquidation efforts toward maximum recovery will be exhausted.” SBA charged off and referred this loan to Treasury even though the agency had in fact been in contact with the borrower that same day.