The "look" of the Royal Princess is a compressed perspective created intentionally by using a long lens to do the shot. Done with a Nikon D750 + a Nikon AF-S 200-500mm F5.6E ED VR lens.
Here is a different perspective (also shot with the same lens) which provides a more normal view:
Another shot done with a more normal zoom lens:
Nonetheless, the ship is very tall, but does pretty well with stabilizers in a 10 foot beam swell. The captain explained that once the swell exceeds 1/3 of the ship's draft, you will definitely notice movement on the ship.