A number of years ago in NYS at 15ish degrees to check sights on a Glock 17 Gen4. I wore gloves when I could during sight adjustment and mag loading, but no gloves while shooting.
After around an hour and a half I absolutely could not feel my fingers. I found that being familiar with a proper trigger press meant I could perform it even when I couldn't feel it. My grip was more difficult to maintain. I found my support regripping.
Overall, my shooting suffered after the shivering started. Hits got worse, sight picture became more difficult and I started trying to shoot when it looked perfect... the trigger fell apart as well.
Personally, I know that when my fingers turn that shade of red/pink that gives that pins and needles feeling I need to be shooting something with a larger margin of error.
At that time my ability wasn't as high as I imagined. None the less serious cold (borderline injury induced by foolishness) hurt my groupings. Mostly by grip and shivers.
Of course I live in Florida now. So that's not much of a problem.
-Cory