I remember an old Mike Douglas show over 40 years ago when he had some obscure health advocate pushing this very idea. His protocol was to start by turning the heat way up, and go naked around the house. Then slowly turn the temperature down over a few weeks to get used to the cold. Eventually you’d get used to sub 60 degree temps and the pounds would shed. At the time it made sense, even though the guy seemed to be a nut of sorts.
There was at least one pundit guy who would take cold showers everyday. He claimed it induced shivering that burnt calories. He weighed 350+ pounds.
Likely cold does have an impact BUT the body compensates for it.
LOL. That reminds me of the old Rosanne Barr joke (back when she used to be somewhat funny) that she was told she could lose weight if she ate while naked and looking at a mirror. She said it worked great until she tried it at a restaraunt.
Not sure about the turning it way up and running around naked, but the core idea is pretty solid. It’s why gyms that want to do things right run cold, making your body do just a big more work (gyms that want you to feel good run hot, making you sweat faster). Because for most of us weight is a matter of just a couple of calories here for there (the 2 pounds a year Americans gain on average equates to about 75 calories a day) small changes can have pretty significant effects. Even if all you do is burn an “extra” 2 calories per resting hour, that’s 2/3 of the average American’s overage.