No, the order of operations the OP posted is correct-- restoring content removed by DMCA is the lawful response to counter notifications, specifically to discou

No, the order of operations the OP posted is correct-- restoring content removed by DMCA is the lawful response to counter notifications, specifically to discourage abuse of the DMCA: if the notifying company is serious about the takedown, they have to be willing to sue you, and the evidence has to be there.