Rabbits shed at all times, like other animals. Do you mean Ollie is moulting? Moulting is like extreme shedding lol. My male has regular moults and doesn’t shed too much in between but my female, oh my goodnes I don’t know how she isn’t bald! She moults for ages but in between moults, she sheds a lot too. It does get everywhere and can be frustrating!

Is he ingesting a lot of fur?

Unfortunately it’s not very uncommon with very long molts/sheds in rabbits. It’s very common in warm climates but can occur in cold climates as well. My Bam had some long melts- his melts started on his face, and I remember how it just started over again on his face when I thought it was finally over ?

Bam was a normal-haired bun, so I could use a lint-roller on him after each grooming g session. It helped a lot and he didn’t seem to mind it. It reduced the amount of hair that would fly around and get into everything. It wouldn’t work with a long haired bun though.

I use the hair buster comb I bought on this site for my Holland Lop, also I don’t know if your bun will allow it but mine loves when I vacuum her with a small hand vacuum. I also use the lint roller, I comb her every evening, she hated it a long time ago but now she loves it, when I lay on the floor and wave her comb she comes running to me. I use the Sherwood Papaya tablets, my bun loves them, I put them in her pellet bowl.