Does Lowering My Bedroom Temperature to 62 Degrees Actually Help My Deep Sleep Cycles?

I have been obsessively tracking my sleep data with my wearable for the past month, and I decided to go all-in on the cold-room trend. I cranked the AC down to a shivering 62 degrees and added a weighted blanket to compensate for the chill. Honestly, the first few nights were brutal, and I felt like I was camping in the Arctic circle rather than sleeping in my suburban home. However, my deep sleep metrics seem to have ticked up by about 12 percent, though I still wake up feeling like a human popsicle. I am genuinely curious if this is a genuine physiological optimization or just a placebo effect from spending way too much money on smart thermostats. Has anyone else experimented with extreme temperature drops to force better sleep quality, or am I just setting myself up for a massive heating bill and a permanent cold?