I like sketching and outlining with pencil and paper, but my handwritten notes are often illegible and disorganized. I know it's partly process and my poor penmanship, but digital surfaces compensate for this with built-in organization, searchability, and easier integration into projects and knowledge bases.
As for disorganization, that's kind of the nature of early notes. There are ways to kind of organize them. One technique I use is writing them on notecards or notecard-sized paper, which I can later shuffle and organize.
I tried some big name matte screen protector, I can’t remember now what it was called, and it was pretty good. It was like 70% of the way to feeling like paper. The Pencil tips would wear away but they still lasted much longer than the sticks for a mechanical pencil would. But the way the matte finish would diffuse light hurt the sharpness of the iPad display so I’ve been using these Pencil tip covers instead. It took some getting used to, and I still prefer actual pencil to actual paper but this at least saves me from buying and storing tens or hundreds of notebooks.
I think it’s important to have that friction between the stylus and the screen. And if you have that, I am pretty happy with notes on either my iPad or paper.