I prefer to think of the difference being "In classical inheritance, verbs are members of nouns, but, in Rust, you define your nouns and verbs as distinct top-level identities, then define the valid relationships between them."

Thinking about it in that sense, classical inheritance has always been based on a fundamentally flawed abstract model.

(Admittedly, purely noun-to-noun inheritance does have its place in a well-structured abstract model, in cases like "every Teacher is a Person", but I stand by Rust's decision to omit it... at least in the near term, because developers are too used to overusing/abusing it out of habit.)