Does lowering my bedroom temperature to sixty degrees actually improve my deep sleep cycle metrics?

I have been obsessively tracking my sleep data with a high-end wearable for three months now, and I finally decided to experiment with dropping my thermostat down to sixty degrees Fahrenheit. Honestly, I feel like an absolute popsicle climbing into bed, but my recovery scores have ticked up slightly. However, I am wondering if the physical discomfort of the initial chill is worth the potential boost in REM duration. I find myself wearing an extra pair of wool socks just to fall asleep, which feels incredibly counterintuitive to the 'sleep cold' dogma we keep hearing about. Is anyone else doing this, or have you found that a slightly warmer environment helps you drift off faster without sacrificing the quality of your deep sleep stages? I am curious if there is a 'sweet spot' that doesn't involve shivering myself into a slumber, or if the cold shock is truly the secret sauce for peak neurological recovery.