I was on the Prima in February in Haven. I indeed paid for the Haven perks, none of which included front of the line at any shows. I still stood in line and waited with the rest of steerage class, the horror. Be thankful that we can afford to travel at that level.
We were on the Encore last year for a 21 day cruise. As a Platinum member we were only able to get one free bag of laundry during the entire trip. We had to take advantage of the $34 special that they offered twice.