My bunny isn’t a lionhead, he is a Rex and the same thing happens here, you can’t stop him from moulting, are you feeding him fresh hay daily? He has to have hay to help the hair come out when he goes to his bathroom, I think you are worried about gastric stasis like my bunny had, well we can prevent most cases of gastric stasis and hairball obstruction in rabbits by feeding them a high fibre diet mainly of hay and green, leafy vegetables and a few pellets, make sure he has plenty of fresh water, if he has a bowl, remove toys from his bowl, which he may have put in so he can access his bowl, also plenty of exercise, let him run about in his play pen, or your room, I’m not a vet, but this is what I was advised when I saw the vet when Olly got gastric stasis, if bunny becomes lethargic refuses to eat, does not use his bathroom, has tummy ache, you must take him to a vet straight away, don’t massage his tummy, don’t give him any medicine that is not from a vet.
Have you seen the message at the top of the page that says Bunny911-If your rabbit hasn’t eaten or pooped in 12-24 hours, call a vet immediately!
This saved my Bunny’s life.
But if you feed him good food like lots of hay, a few pellets he should be OK, I hope I have helped you a little bit, maybe someone has more advice to give you on the subject MissBunni.