That was my experience as a kid, but using them as an adult that’s never the case. I think it was a combination of cheap pens and a child’s carelessness.
Pens in general are terrible for me as a left handed person. The only ones I like are the Frixion pens, as their ink seems to actually dry fast enough to not cover my hand in ink. Really writing as a left handed person feels like a fool’s errand. It just wasn’t made for me.
As for some solutions: The choice of the writing instrument helps a lot. While fountain pens feel amazing to write with, one looks like a smurf after writing with one. Hard pencils are one of the better choices. Writing slower also helps a bit.
A “different” solution would be to write from right to left. I’ve tried it multiple times — both writing with mirrored symbols and writing non-mirrored symbols. The positive was that my hands were a lot cleaner. The negatives were that others couldn’t read what I wrote and that I looked as a crazy person.
Hah I took my notes in high school this way too! It came surprisingly naturally and wasn’t even that difficult for me to learn to read. Maybe I should just start taking notes backwards in business meetings, since nobody else reads them anyway.