My husband and I were riding down from Cumbres Pass (above Chama, just over the Colorado border) this weekend and had a little scare. We were weaving down the twisties when I came around a corner and faced a speeding pickup truck that had crossed the center lane into mine. He was fishtailing slightly, apparently was going faster than he realized and almost lost control. I managed to negotiate around him. If I had been going even a little faster, it would have been a fatal head on that most likely would have taken out my husband and me.
It's tempting to take the curves at speed and, as one's confidence and skill improves, the faster we tend to go. But one of the facts about twisties is that we can't see what's on the other side. It could be a cow, a patch of ice, some gravel, construction, a bicycle, a broken down vehicle or - as I experienced - another vehicle going at a higher rate of speed than they can safely handle.
It's not safe to brake at speed going around a corner. Good idea to brake ahead of time and then open the throttle through the curve. I'm going to re-think the common advice that you take the beginning of the turn from the outside and cut into the middle. If I'd done that, I'd be dead now.
Just a heads up.