Maybe but there's reasons to doubt this. For starters, it's not obvious that Rust copies less. Sometimes you copy in Rust because it's easier than threading lifetimes throughout; sometimes you copy because you are defending against an imaginary threat (consider std::env::var or std::env::args).

One potentially important difference is integer indexes vs pointers. Compared to C, Rust uses int indexes less often within a function (iterators, not for loops) but more often between functions: in C you might store a pointer somewhere, while in Rust it's easier to store an index into a collection. But a ton of work has been poured into LLVM's induction variable analysis so this is swimming upstream.

The aliasing could be really important; there's a ton of pessimizations for e.g. uint8 pointers. Part of the maturing is fully specifying Rust's UB and aliasing model.