Another one of those personal preferences. I've shot a Damascus a lot over the last 10 years or so, last few years I prefer the Kangaroo skin glove from Big Jim's. Still soft and supple, great feel/control of the string, but a tad more substance to it than the Damascus (which vary vendor to vendor... they're mighty thin these days). I still have both, but the kangaroo is my go to.
Shot an American Leathers Full Shot for a couple years... best quality, workmanship, fit and finish, and customer service around. I just couldn't quite get used to the thicker fingertips. Very tempted to try their Kangaroo glove though.