Mine is a CC and like Cam I wouldn't go back to an aft cockpit.
All of the disadvantages mentioned are real and there are some that haven't been mentoned yet but for cruising it has the advantages that matter and the disadvantages don't really matter
to me.
Things like a shortage of on-deck storage are largely true but what does one need to store on deck that can't be stored down below? As it happens my boat has a considerable locker on deck but granted it isn't in the cockpit, it's right ahead of the transom. It holds spare sails, outboard, spare anchors, some storm gear, refuse bags and space to spare.
I've taken care of the windy cockpit by putting an enclosure on deck. The downside is added windage. Docking is definitely harder as Cam said because being at the helm precludes handling docklines.
But it is a known fact that a far greater proportion of time on a long-term cruise is spent on anchor than sailing. My boat sails well enough to be up there with any similar vintage aft-cockpit boats and the accommodation is very good, much better than most aft cockpits. Granted it is 44 ft so it is bigger than the OP's starting point.
And I have to say that I disagree with an earlier statement that CC's are becoming less popular. The visiting cruisers into our marina in the last two years have indicated that there are a whole lot more crusiers choosing CC over aft cockpit.
Summary: When I have a hot shower in the en-suite head and curl up in my queen sized bunk in a
properly private cabin, I really like my CC.
Except when I'm in a fixed berth (marina) and the wind comes from the stern.

Then the wavelets slapping under the counter are enough to drive one crazy (my personal "worst trait" of a CC). Doesn't bother too much at anchor because the wavelets are going the other way.