While CC have more living space than aft cockpits as a general rule, the newer boats out there Jeanneua, Benneteua, Catalina aft cockpit boats, are putting in very large aft cabins. So one is not restricted anymore to just CC boats to get the large aft cabin. But in both designs it comes at a price; storage. Cockpit lazzerates are smaller or non-exsistant. Finding place to store dock lines, fenders, extra sails, wash stuff and other gear can be problematic.
Also, CC cockpits are typically very small. Lounging out with more than 3 people, especially when the weather get bad, can also be a concern. With most tables extended out eating with more than 4 people around one will have to find other means to entertain guest.
Yes you are right but the boats that come with a big aft cabin with standing height are the so called Deck saloons, that should be called instead raised cockpits
In fact the extra height in the saloon, besides give light to the interior demands a raised cockpit and that permits the height in the aft cabin.
The costs are a lot more windage, more steps to go from the cockpit to the saloon, as killarney has referred, more difficult docking (to jump out of the boat) and a position on the cockpit more far away from the boat CG and that means more ample lateral movements and more discomfort.
The Deck saloons and the center cockpit boats have many things in common