Spectre exploit possible through webkit?

Spectre affects modern CPUs, such as those found in the PS4, which gives applications access to normally inaccessible areas of memory.

If a WebKit exploit is found that can take advantage of this bug, there is a possibility that code in the hypervisor can be accessed and dumped somewhere, where new exploits could use bugs in this code to trick the hypervisor into thinking that the software is legit.

Probably pointless babble. But I wanted to give my (probably dumb) idea to this community.