Glad you're not more seriously injured. FWIW, my experience with Gatorskins has not been positive the 4000s on the other hand, has been outstanding.
Cornering is a learned skill. Do you ski or snowboard? I learned a lot about cornering from carving a snowboard. Lean the bike a little bit more into the corner than you lean yourself. That will help keep your weight over the tires and give them more grip.
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Some sort of pithy irrelevant one-liner should go here.