I'm glad you made it okay. Sometimes the connections can get rather dicey even though it looks like one might have enough time. The disembarkation process of NCL appears similar that of all three of the lines we use.
Over the years we have been fortunate, we try to use the cruise line's airport-ship-airport transfer package whenever possible. Especially overseas, doing that has really eliminated a lot of grief. Last occasion was in October which would have resulted in a nightmare if we didn't have the cruise line personnel meet us in Rome, they spoke the lingo, knew the tricks at the airport, and fought for us (Regent), the airline had lost all four of our bags (Alitalia) even though we traveled 1st class.
Two recommendations--- #1, When you get your color code for disembarkation make certain you have more than ample time for the connect to the airport. If not, put the squeeze on them to get you off earlier. One time in San Fran. on Princess, they got horribly screwed up in the arrival terminal. Everybody was about 2-3 hours late getting off the ship, then lines were one to two hundred feet in length for the buses. We originally had 7 hours from the time we docked to aircraft departure. We were on a Princess Air package too. They had us leaving the ship with guests who were scheduled to fly out three hours or more after us. We called Princess headquarters from the line and told them we only had one hour to go before departure, they told us to go to the front of the line. Haw, you ever tried that with a cruise crowd in advanced stages of irritation, I would have needed a gun. Anyway, we got to the airport 1.5 hours after the flight departed.
#2----Be very careful to watch your bags, make certain nobody else grabs yours when getting off the bus. One time in Lisbon, after an almost 3 month voyage, HAL had given us all nice "orange" duffel style bags. Unfortunately, everybody used theirs for hand carries getting off the ship, on the bus they were all put down below. We were all on the same flight, so bus stops at the airport, one couple, you know the type, pushed to the front of the line grabbed an orange bag and checked in first. Much later a poor harried older lady and a harried HAL agent came up to us all with an orange bag. The persons it belonged to were the pushy-shovey couple and they had already checked the poor ladies bag in as theirs.