I cannot even imagine how much it would add to each cruise fare to hire enough phone reps to call every passenger on every cruise potentially affected by schedule changes (late arrivals by an hour, missed ports due to weather or mechanical problems), etc.

The vast majority of pax on the Sky clearly got the message -- reports are that 12 people missed the ship's early sailing. Whatever the cruise line is doing appears to have been adequate notice in nearly every case -- to have done a "better job" notifying passengers NCL would have had to be perfect in reaching everyone. As others on this thread have said, that's almost impossible. People are in transit, changed cell providers, only gave home numbers when they aren't home, etc..
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Host Michell
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Upcoming Cruises:
Eastern Caribbean, 2016 -- Regal Princess; Eastern Caribbean -- Celebrity Reflection, 2017; Eastern and Western Caribbean -- Norwegian Escape, 2017

Some Past Cruise Adventures:

Pride of Hawaii, NCL, 2007 (Hawaii) -- MS Volendam, HAL, 2008 (Alaska) -- Norwegian Dawn, 2009 (Caribbean) -- Carnival Triumph, 2009 (Canada) -- Emerald Princess, 2010 (Caribbean) -- Norwegian Epic, 2011 (Caribbean) -- Celebrity Summit, 2011 (Bermuda Cruise Critic Member Cruise) -- Ruby Princess, 2012 (Caribbean) -- Sapphire Princess, 2012 (Alaska) -- Norwegian Sky, 2013 (Bahamas) -- Carnival Dream, 2013 (Caribbean) -- Carnival Liberty, 2013 (Caribbean) -- Norwegian Epic, 2014 (Caribbean) -- Carnival Sunshine, 2014 (Caribbean) -- Norwegian Getaway Back to Back, 2015 (Caribbean) -- Carnival Sunshine, 2015 (Caribbean)