Warning of "Payment Date Has Passed" is concerning to some users

From a UX perspective, the warning that "Payment Date Has Passed" after client has approved a payment is concerning, in the case when the payment will eventually be successful.
Not to be confused with payments where the scheduled date has actually passed.

This happens occasionally when the client authorizes a payment late on the approving day. The payment will show the warning "payment date has passed" up until the status changes to "Status changed to Paid - Bank account debit initiated" the next day around 12:15pm EST.

Yes, bc client doesn't need to take action; the payment batch will process on the next batch run.

Is it possible to identify whether the payment is going to succeed on next batch run vs a scheduled payment that will actually fail due to payment date in the past?
If it's possible to identify the difference, can we lighten the warning so as not to cause concern?