I thought it was supposed to be exploitable by javascript? If you can get to the machine and run c code, well, that doesn't seem like an exploit?
The Javascript case is the main one that makes it remotely exploitable.
> In addition to violating process isolation boundaries using native code, Spectre attacks can also be used to violate browser sandboxing, by mounting them via portable JavaScript code. We wrote a JavaScript program that successfully reads data from the address space of the browser process running it.
The whitepaper doesn't contain example JS code however