FYI, ship captains rotate fairly often-I can't remember now what the cycle is, but Captain Damir visited the concierge lounge on the EBTA on the Fantasy in May and was talking about it-I was surprised how frequent it is.
While I do think the Captain has oversight of the ship, I don't think they are going to be the primary ones problem solving these types of things. There are other officers that are heads of entertainment, housekeeping, etc. that likely are the ones doing most of the work. They may go to the captain for final approval when solutions need to happen, especially when trying to make things right/compensating guests, etc. Just like a CEO is not involved in the day to day of any company, they have executives to do that for them as well. I do agree with you that they (CEOs and captains) set a tone. I think it's a pretty big leap to assume the captain of the Magic has a laissez-faire approach or is close to retirement.