The recent track record of curl shows it has zero reported memory safety issues recently. Reading the article and the old linked research you'd be mislead.
It also states that Rust completely prevents them - it does not. The article talks about mitigation, but also says: "would have been completely prevented by using a memory-safe language". The "completely prevented" claim in the article is the one not supported by current research. If you only read this article, you'd be mislead about memory safety in Rust.