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Only on the downhills but at the distances I ride it's not a big problem. I'm not sure how to address it though since I'm really tall and can't drop the saddle and the bar is as high as it can go.

He's referring to the saddle angle. Rolled forward like that it puts more weight through the wrists and hands and on long rides will cause discomfort. Roll the saddle back to horizontal or even just slightly angled up at the front takes a lot of weight off the hands.