That's an entirely fair question, and in a lot of piano auditions at least in my experience memorization is required. Most of the time, sheet music isn't helpful because it answers "what chord am I supposed to play next?" but more so as a roadmap for the structure of the piece. Take a look at the sheet music for the Stockhausen Klavierstucke mentioned in the article and you can see why this would be helpful.
There are many examples where two pedals are used simultaneously. If I'm remembering correctly, there's even a moment in a Ligeti Etude where all three pedals are needed. Regardless, using an iPad for sheet music is already being a adopted by classical pianists minus the foot pedals, like Yuja Wang:
https://youtu.be/ZbEtk1kdYx4