I've written a decent bit of Rust, and am currently messing around with Zig. So the comparison is pretty fresh on my mind:
In Rust, you can have private fields. In Zig all fields are public. The consequences are pretty well shown with how they print structs: In Rust, you derive Debug, which is a macro that implements the Debug trait at the definition site. In Zig, the printing function uses reflection to enumerate the provided struct's fields, and creates a print string based on that. So Rust has the display logic at the definition site, while Zig has the logic at the call site.
It's similar with hash maps: in Rust you derive/implement the Hash and PartialEq trait, in Zig you provide the hash and eq function at the call site.
Each one has pretty stark downsides: Zig - since everything is public, you can't guarantee that your invariants are valid. Anyone can mess around with your internals. Rust - once a field is private (which is the convention), nobody else can mess with the internals. This means outside modules can't access internal state, so if the API is bad, you're pretty screwed.
Honestly, I'm not sure if there is a way to resolve this tension.
EDIT: one more thought: Zig vs Rust also shows up with how object destruction is handled. In Rust you implement a Drop trait, so each object can only have one way to be destroyed. In Zig you use defer/errdefer, so you can choose what type of destructor runs, but this also means you can mess up destruction in subtle ways.