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

[Kat Lust]

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?

 

[Butterscotch]

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.

 

[Blue eyes]

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

 

[Lukaku&Onana]

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