So here is what you can do if you purchased a pass through recreation.gov and they sold you a pass with the incorrect (last years) dates.
Per the BLM, all season passes receipts will be honored and exchanged for the 2022-2023 season. They are still trying to figure out the system. No need to worry about a refund. As long as you have your receipt that you paid through recreation.gov, BLM will exchange for a hard copy season pass at the gate.
For those who have not purchased a season pass but plan to buy yours through recreation.gov, I would wait until October 1st to purchase. Hard copy season passes will still be available through off-site vendors sometime over the next few weeks.