Update to the update - we got PR already!! Yay! Our advisor called INZ 2 weeks after the application was received, and successfully requested priority processing. We can now go on vacation as planned with no tension hanging over our heads <3 They didn't ask for our real passports, the certified copies were fine in our case, and we now have the email with e-visas attached.
Timeline:
May 26th- application received by INZ (as indicated by tracking number)
June 10th- advisor called to request priority
June 14th- PR granted, visas received by email