I used both fountain pens and pencils when I was in school and I had similar results, regardless of the tool. Though my writing wasn't exactly beautiful, but it was pretty readable.
Regarding the ball-point pen, when I switched to it, I had to write fast, so the writing might have deteriorated from both the speed and the tool.
Regarding the ball-point pen, when I switched to it, I had to write fast, so the writing might have deteriorated from both the speed and the tool.