I'd expect your claim to be true whenever the callee is inlined into the caller. In this case, the compiler has all the relevant information at the right point in time. As other commenters have pointed out, by enabling inlining the author has gone down a rabbit hole somewhat unrelated to the question, because any copies can be simply elided.
If there's no inlining at play, I'd expect vast differences to be possible. For example, imagine a chain of 3 functions - f calls g, g calls h, where one of the arguments is a 1kB struct and the options are passing by copy or by borrowing. In this case, each stack frame will be 1kB in size in the copy case and there will be a large performance overhead as opposed to the by-reference case. One would expect simply calling the function to be similar in overhead to an uncached memory load.
Within a single crate the inlining is possible, with multiple crates it's only possible with LTO enabled (and I'm not sure how _probable_ it is that the inlining would occur).
In either case, the difference between a 32 byte and 8 byte argument in terms of overhead is likely meaningless - the sort of thing to be optimized if profiling says it's a problem as opposed to ahead of time.