I don't believe the intent is for the entire bedroom to be considered a bathroom because there isn't a door.
I agree that its a bit foolish to have all the bed receptacles in GFCI, but if that's the case, how will you apply 210.8(A)(1)? How will you know if the receptacle is considered in the bath or still a bedroom receptacle? Will it always be subjective to the inspector? Typically we have a wall or door that separate the bed and bathroom.Since we're not supposed to run cords through doorways, and doorways define wall spaces, the need for a GFCI in a room adjoining a bathroom is ludicrous.
Acoustically Distinguishable Space? (A little fire alarm humor, sorry.)The same uncertainty can occur in great rooms, where it's not clear where one room ends and another starts.
Wall color? Floor finish?
I would say the room you are describing meets the NEC definition for Bathroom and not just any other Habitable Room in the house.While the intent is definitely not to consider the bed as part of bathroom, isn't it much safer to say to have the bedroom at the same level of protection with the bath as the outlets in the bed are now easily accessible from the bath? I know that this might sound overkill but I'm not sure on how inspectors interpret this case.