I’m an aged beginner and I do it sometimes, but not because I associate the physical motion with the sound, and I truly don’t think that’s why anyone does this.
To me it’s just the need to familiarize the action of the pedal with the symbol in the music. I’ve been working on the Bochsa etudes in the second book of the 50 easy etudes, and there’s one pedal change in #47 that I typically play as a sharp instead of a flat, but I’m playing the others in the piece correctly.
Overall, that particular etude is a real bear, and I think if I were confusing the pitch with the mechanical action I’d be making more mistakes than I am.
That particular volume of Bochsa is really good for a slow, moderately painful introduction to pedal work, so if your students can tolerate it, it might be worth a try.