Again, I'm not saying that you're advocating writing things in C.
Where I think performance advantages that come out of writing things in C come from is being rarely being able to take shortcuts by relying on provided libraries and primitives which turn out to be not quite tweaked for the problem at hand. That is, C forces you to do so much yourself - largely because it has such poor abstraction tools - that you end up with a more specialized codebase. That specialization can include cache-oriented optimization, but I don't think it's the most important aspect or unique to C such that you can't get 95% of it - to the point where it's no longer a meaningful advantage - in a GC'd language.
Where I think performance advantages that come out of writing things in C come from is being rarely being able to take shortcuts by relying on provided libraries and primitives which turn out to be not quite tweaked for the problem at hand. That is, C forces you to do so much yourself - largely because it has such poor abstraction tools - that you end up with a more specialized codebase. That specialization can include cache-oriented optimization, but I don't think it's the most important aspect or unique to C such that you can't get 95% of it - to the point where it's no longer a meaningful advantage - in a GC'd language.