If you use it on the surface, you won’t have any problems (if it’s diluted). It’s something that’s sold for this exact thing. Otherwise, a quick Google would tell you if there are any problems. I’m just trying to help with the mold/fungal part since that might be a little more tricky to understand.
My only hesitation is if it gets under the paper. It still should be fine, but I don’t want to say yes when I’m not 100% sure (it’s a scientist thing).
The pure bleach… Well, I’d test that first on a small piece of drywall if you have any laying around. Put a little on, let it sit for a minute, wipe it off with water a couple times and see how it looks in a day or two. In a different spot, put some on for 5 min and do the same thing.