How do you replicate a literature review? Theoretical physics? A neuro case? Research that relies upon natural experiments? There are many types of research. Not all of them lend themselves to replication, but they can still contribute to our body of knowledge. Peer review is helpful in each of these instances.
Science is a process. Peer review isn't perfect. Replication is important. But it doesn't seem like the author understands what it would take to simply replace peer review with replication.