Rabbits are inherently clean creatures and no not need bathing. The only exception to this is if they have severe poopy butt. If this is the case then a butt bath is all that is needed - in addition to investigations into why they have poopy butt in the first place.
You can read more about this here - Poopy Butt
Sadly, there are many videos on the internet showing a rabbit lying on its back (in Tonic Immobility) ‘enjoying’ a bath. The truth of the matter is the rabbit is terrified and at risk of heart failure.
Rabbit fur is also very dense and if not 100% completely dried off the rabbit can be at risk of hypothermia after a ‘bath’. The stress cause by bathing and getting too cold may also send a rabbit into stasis.
You can read more about this in the following links -
Bathing Bunnies - by Claire King, Registered Veterinary Nurse
Grooming - The House Rabbit Society
If a bun has a mucky butt which needs bathing to clean the poop off this can be done safely by using the following approaches -
Bathing a Rabbit's Messy Bottom