Is it safe for bunnies to eat the brown shipping paper that comes with Amazon boxes?

Hi, I'm new here and this is my first time posting. I've got two adorable Mini Lops, and I've only had them for a few weeks but they are my babies :3 my bunnies love chewing and digging and I've heard people say paper is a good way to keep them entertained in that regard, and I had recently ordered some stuff from Amazon that comes with the brown shipping paper they use. I usually only give my bunnies ink free printer paper to big and chew on, and I have noticed they like to eat it too, so I was wondering if I could give them the brown paper to chew up and, knowing them probably eat, and have it be safe for them?

I gave my rabbits the brown paper that came in a Chewy box. It looked very clean so I figured, why not? They made a big mess out of it and had a lot of fun with it.

As long as they are good hay eaters. (keeps gut moving and helps prevent blockages)

Mine nibbled on it several times, because they love throwing my bin over. They both eat lots of hay and never had any problem.