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
Huh. Seems crazy to me; the soften and sustain pedals always seemed to be mutually exclusive (maybe not mechanically per se, but the pianos I've played on never seemed to allow both softened and sustained notes). Maybe it's just a feature of sufficiently fancy pianos (the "fanciest" on which I've ever played were baby grands in high school band classrooms).
But yeah, even a button press or screen swipe should be easy enough to be useful in all but the most extreme cases (and in those cases a combination of memorization and automatic turning (e.g. tied to a metronome) could help further).