We arrived at the Port in a Town Car at approximately 12pm. A porter took our bags before we headed past the gate security and into the terminal (pausing to take a few photos on the way inside) Everyone lines up in the same security line but when we arrived, it was really short and within a few minutes we were inside the terminal.
We took a photo with Pluto (reasonably short line) and did some pressed pennys. By this time, Goofy came out so we jumped in line to meet him before we headed back to the Concierge Desk to check in. There was one family in front of us but they already gave us a form to fill out while we were waiting. From the time we got into the line, it took about 10 minutes before someone was walking us onto the ship.
Someone walked us straight to the front of the line to take the boarding photo. They then walked us onto the ship and to the elevator and told us how to get to the concierge lounge. When we got to the lounge it was approximately 1pm.
Food was already set up in the lounge. For us, we are light eaters and we had no trouble making it our lunch for the day. We were told our room was ready for us and they offered to take our carrys on to our room for us. Generally the concierge rooms are ready earlier than the rest of the rooms. We spent sometime in the lounge, getting to know our concierge team, having lunch and coffee. It was very nice and relaxing in there, not overly busy which is exactly what we wanted. Once we were finished lunch, we checked out our room. This wouldn't have been before 2pm. However speaking to other concierge guests, one family said they had been able to enter their room by 11:45am
If you want to avoid some of the crowds, concierge is wonderful for that.