Most of us who played baseball or golf have experienced the painful sting from a poor contact. And the pain seems to get exponentially worse as the temperature drops.
I have not played baseball in years but I remember getting my hand stung with wooden bats, not so much with aluminum bats especially in cooler temperature
But I have played a lot of golf in 40-50 deg temperatures and I get the same pain when I struck an iron thinly.
What vibrations are transmitted through the golf club/bat to my hands to magnify the ‘sting’ so intensely?
As tempertures drop, all the cushioning materials stiffen. You can google vibration dampners for temperature effect. On a golf club, the adhesives, tape, and grip composition all stiffen. The grip has the most effect. On a human level, your hand gets reduced circulation and less dampening between the grip and bone/nerves. Less blood = not so fluffy fingers. There is a condition related to this called Raynauds Syndrome. They make special gloves for sufferers.
I wear thicker gloves and use my graphite shafted irons in the winter. I also have some nifty microwaveable hand warmers that work well for the first 5/6 holes each nine.
There is something for sure that makes nerves send stronger pain signals when cold.
Where I have noticed this the most is when working on cars in the cold. When a wrench slips and your cold hand slams into a automotive frame member it hurts WAY more than in the summer.