Jeff, OK, just trying to help eliminate items, I used to shave with hot, and got terrible irritation, hot spots, etc, once I switch to cold.... well cool here is AZ in the summers, I have never had better shaves. I should have realized this from the days , like you, out in the sticks in the military, always shave with cold.Never shaved w/ cold water (i.e. ice water.) But numerous times throughout the years I have shaved when the water was not hot for various reasons (lots of people taking showers at same time ==> no hot water when I shave, deployed in the military in some locations, etc.) In those occasions the water has been anywhere from cool tap water to luke warm. My experience was that the colder the water, the worse the shave, & the worse the irritation. So I'm inclidned to believe shaving in truly cold water would be worse.
Now, I'll concede that these "cool water shaves" were with the Sensor XL/ Edge Aloe Gel combo that was my staple for decades and not with a safety razor, brush, & quality soap like I got converted to a year ago. Would that make a difference in my outcome? I wouldn't think so. but I haven't tried it.
Also I gave up alum for the same reasons. Keep at it it may come down to pressure, blade angle. I may had said this to you, but with a straight don't shave your face, shave the lather. It will help with touch