Definitely asleep, not blinking. It's eyes were shut for several minutes.
No interactions present.
I agree with the identification but is it really sleeping - or just keeping its beak warm?
Mute swan, unhurried elegance personified - but try weighing a couple of hundred of them in a morning - definitely gets you in the shoulders.
YOU try and weigh a couple of hundred of them... ;-)
Lat/Lng: 52.08925, 0.05532
OS grid ref: TL409454