Not sure, but I think they're an actual park hopper ticket. Maybe with the fast passes on it. Hopefully someone else can chime in here.
I don't think you can do your APs along with your park hopper. You can only do one or the other. And, yes,
DCL does specify that those people who use their own tickets to enter the parks, can't save the park hopper for another person or another time. It has a date on it that it must be used (the day you are in port).
I found a thread from last year that talks about the ticket & fast passes. The fast passes that are linked to the park hopper ticket you get are FP+ and can be used for
any 3 rides in any of the parks.
https://www.disboards.com/threads/cruises-from-nyc-to-disney-world-fast-pass.3506194/