I'm also between yes and no. If the clinic is not staffed 24 hour then I think they should go home, but I can see a case for them being kept in if the clinic is staffed. although even that can vary - how noisy is the clinic, is there somewhere away from dogs in particular that the bun can recover, is it in a place where there is lots of disturbance, etc etc...
But personally I would want them at home - I think the companionship, quieter environment etc will help them to settle, and I know my buns better than anyone. That won't be the same for everybun though - some outdoor buns may be more distressed at being indoors overnight (especially if there are young children/dogs etc) as that would also be unfamiliar.
I also think sometimes that owners can do more harm than good by flapping around their poorly bun and trying to syringe feed etc too soon.
Of course a vet won't know about the home environment, whether the owner knows their bun well, how noisy/smelly/cold it would be for the bun, whether the owner would try and medicate etc etc...so if I were a vet, I think I would probably err on the side of keeping them in, unless I knew and trusted the owner well and unless the behaviour of the rabbit indicated that it would recover better at home.
So, in conclusion: it depends :lol: