Haven bidding is really a crapshoot one way or another. You could have a max bid one one voyage and a minimum on another and get one, both, or none. Depends a lot on the occupancy, which itself is derived from the ship, voyage, and time of year.
It can also be a bit of a double edge sword. I was on the Joy earlier this year in a paid solo haven room (really good price, too good to pass up). The ship was empty...except for the haven areas. The bar was so packed and rowdy I actually ended up going elsewhere as my main drinking hole.