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Speaking as 14-year veterans booking our own Celebrity cruises (including multiple cruises during the past year) ...
"Calling early in the morning" [in the "wee hours"] used to be helpful -- but definitely no more. Several days ago, our call before 5 AM resulted in a very long wait, and, when we mentioned this, the vacation-planner said that he and one other person were the only people answering all the calls. We now believe that "X" either (1) is having trouble hiring people ... or (2) is able to hire but unwilling to do so [due to reluctance to pay the salaries].
Moveover, "capecodmercury" (the OP) wanted to get help specifically from a Captain's Club representative. There is no point in OP "calling early in the morning" to reach such a rep. If we are not mistaken, the CClub reps don't start working until 7 or 8 AM Eastern time, Oh, one can dial the CClub number at 3 AM, but the call will simply be transferred to one of the "skeleton crew" of ordinary vacation planners.
Yes, the Internet site has been pretty darned bad to us, over the past year -- and this should be embarrassing to "X." [We have to laugh when we hear all the propaganda about the corporation winning awards!] It's not that the site has been doing weird things to us, but rather that it is horrendously slow -- and it forces a potential guest to go through too many "screens" to reach a destination.
Because of poor design (systems analysis) that shows a lack of intuition/imagination, it takes at least twice as long to do some things as it should take. In addition, X's programmers seem to have begun to use techniques/coding/scripts that our browser cannot handle, so we have to leave home and use someone else's computer to get things done. We can no longer even do an online check-in at home.
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The OP's first sentence was this: "Well, called the Captain’s Club number." 😜
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