We were on the Sovereign in June. We got to the port about 11:00 am and there wasn't much traffic at all. A lot of people were already there, however. Total time with standing in line was about 40 minutes. We had five people in our party, but we had filled out the online embarkation forms and that seems to help once we got up to the counter. There was not an express line for people having these forms. They didn't even ask until it was our turn at the counter. This was our second time on the SOS and we loved it.
Have a great cruise.