Taking Swift Learner instead of this grants a permanent 10% experience point boost with no matter of sleeping. But, being well rested along with having the level 3 perk will double this experience point boost.
The Vault Boy image is similar to that of the Mister Sandman one, excluding the murderer with a knife and the mattress instead of a bed of spikes.
Beds flagged as owned (depicted with the name in red) cannot be rested in, even with this perk. Keep this in mind if scouting for a non-standard home to use with the perk.