Dont know the answer to this but I will say when I had alot of weight to lose I didnt sleep that well. Indigestion was my main problem, but now I sleep all the way through the night. And I have been told that I dont snore anymore, well not as load.
Yes, because lack of sleep can adversely affect your metabolism (lack of sleep is bad all round - it messes with your hormone levels, makes you tired and therefore less active, and reduces the time your body has for repair and regrowth).
There's also a link between sleep apnea and being overweight (and with PCOS too - but everything seems linked to PCOS if you ask me). So, following that logic, losing weight would facilitate better sleep. I have found when in deep ketosis that I wake earlier than I used to.
Im sleeping loads better now and appartently I no longer snore (not that I ever agree that I did in the 1st place!!) and I also dont move around much anymore. I just hit the pilow and Im out like a light.