Sounds about right. I stayed on the Sea Princess last Fall in England and it was very painless. I was concerned it might be complicated but not at all. I wanted to walk to Southampton so they took my new card, signed me out and I was on my way.
When I came back, there were long lines everywhere. I went up to a security person and next thing I knew I was walking onboard using my new card, it was great!
My first B2B and I loved it! Can't wait for the Century cruise, another B2B, and my Med adventure, B2B's on Royal Princess, 24 days, woohoo!