It just goes to show how everyone is different. No style of bars have ever hurt my wrists, no matter how far I ride. But many times my hands hurt, at least a little. Usually, any position on a drop bar is the worst. No pile of posts from drop bar evangelicals can change that fact.
But I do have one drop bar bike set up that seems to fit ok. Not better than my favorite flat bar bikes, but tolerable. I guess the geometry and set-up is just right.
Sometimes, when taking a curve I find I'm going too fast and wide so I use my brakes. Doing so has never caused me to crash, but I'm certain it's prevented plenty of them. The "you shouldn't brake on a curve" rule is pure silliness.