Not bedsocks, as such, but I do wear some thick woollen ankle socks in winter.
I do not have the heating on in the bedroom and the transom is always cracked open as I cannot get to sleep if the room is hot. However, I do need 'layers' (vest, jim-jams) once in bed.
Yes, I wear socks most nights, although generally I kick them off during the night. I buy them in Primark or M&S. I have poor circulation so I sometimes even need them in summer.