Reading the above again... I am not sure they understood the question.
I agree.
It does sound like they think you are leaving the ship for good. Not "rejoining" it at the next port.
Last October, I met someone on a Transatlantic cruise (non-DCL) who was disembarking early. He disembarked in Mallorca instead of Barcelona because he had an apartment there. That way he was able to save the time and cost of flying from Barcelona to Mallorca. He had to settle his bill bedore disembarking.
I know that you can do this on other cruise lines, but DCL is really not use to things like that as they are not really big in the Europe market.
I've met people who have done this on other cruise lines. They don't "disembark." Rather, they are "in transit" while they spend a night or two off the ship. They advised the front desk in advance so the ship's security can account for them for the all aboard. They only took overnight bags with them.
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Woody