Rust moves are a memcpy where the source becomes effectively unitialized after the move (that is say it is undefined to access it after the move). The copies are often optimized by the compiler but it isn't guaranteed.
This actually caused some issues with rust in the kernel because moving large structs could cause you to run out the small amount of stack space availabe on kernel threads (they only allocate 8-16KB of stack compared to a typical 8MB for a userspace thread). The pinned-init crate is how they ended solving this [1].