I believe Jepsen is killing (VM) systems, not just processes. It is meant to model the failure modes in a data center, which would include machines bursting into flame, etc.
Hmm. Upon looking at the documentation [1], it looks like the recommended configuration is to run nodes in LXC containers. Maybe I'm mistaken, but I thought "LXC" basically just meant some automation around kernel features like chroots, user namespaces, etc. In which case, shouldn't the containers share the host's VFS and pagecache?