I have only experienced a small amount of neuralgia, but I 'think' the cold air hitting my face has caused it to be worse. I looked on several websites and found this about a gentle breeze,but didn't see anything that directly stated about cold weather.
Perhaps someone else will have a better answer for you. Until then....

"Even a gentle breeze blowing on the face can trigger pain. Known causes include multiple sclerosis or tumours pressing against the nerve."
http://www.betterhealth.vic.gov.au/b...explained?open