“In relatively rough water, a rudder may be out of the water frequently and be ineffectual for that time.”
I agree that hull design is the more crucial factor. In my experience, the above isn’t really a concern for rudders.
When a following/quartering wave acts on the end of your stern (including rudder in the water), that is where you’re most likely to be having directional control issues - where the turn of your kayak is initiated. When the rudder or stern of your kayak is released on top of the wave, that damage is already done. The pushiest moment of being turned is over. The stern/rudder/skeg already did its job to the best of its ability during the pushiest moment. It is also a moment where your kayak, with it’s end released from the water, and the wave still moving faster/as fast as your kayak in that moment, becomes very maneuverable. Even if you have a skeg down, when the end of your stern is released from the water over a wave crest, you’re going to find a big difference in that moment in your ability to spin your kayak. And again, once the stern is released, your push off-course has already occurred, and you’re in a moment of correction.
When you are intentionally surfing waves and doing what you can to work with them, this becomes especially evident. If a wave acts strongly enough on your stern, if it’s steep enough and moving fast enough and in a direction to give the stern a push sideways, any sea kayak will broach fairly quickly and easily. If you can hold off a broach (and speed in this scenario) well enough to get your stern out of the water, in that moment, you have really nice ability to steer your kayak in a desired direction. This is very different than allowing your kayak to be turned by a wave, or trying to steer your kayak with a rudder. It feels more like a quick spin of a kayak much more maneuverable than it normally is. The main point is that you’re going to have a hard time finding these moments paddling open water. So I’ve never been able to figure it much of a concern with a rudder.
You can find steep pushy waves where your rudder/stern might be occasionally momentarily released. But these are conditions where I think a rudder will prove very useful. Getting the drop down in front of the wave with the gradual directional correction that a rudder affords prove a good combination. It allows you to focus on maintaining speed to connect rides. The best thing for directional control in these situations is maintaining the speed of the waves you’re traveling with. The slower you go, the pushier they become. So it becomes a matter of getting the drop on a wave, and from there, maintaining speed as effectively as you can. While you maintain speed, your stern isn’t being overtaken. Rudders and skegs don’t absolutely prevent broaching. They just help, sometimes quite a bit. Speed does the same.
If you’re stiffened up, constantly bracing and being overtaken by every wave, that’s as tough as you can make it. Waves steep enough to hold your stern well out of the water are steep enough to take a ride. If you’re struggling and want to smooth out your paddle, try to take your focus off of bracing, and refocus on momentum and keeping in front of the steeper waves. When traveling through rough water is your goal, the boat that best allows you personally to both move through the waves, and along with the waves the most effectively, all weigh in in terms of your best rough water kayak.