In looking at the documentation, the pedal is simulating a PageDown command. That's not the same as scrolling. The pedal is expecting you have multi-page PDFs, but in your case "all text is on one page". So I'm doubting it will solve your problem.
There are apps like SongBook where you can program in the scroll rate for each song.
My bet is you will need either an app which supports scrolling, or break up your PDFs into multiple pages so the pedal can turn the page for you.