Peer review does not serve to assure replication, but assure readability and comprehensibility of the paper. Given that some experiments cost billions to conduct, it is impossible to implement "Peer Replication" for all papers. What could be done is to add metadata about papers that were replicated.
Isn't readability and comprehensibility the job of the editor/journal to check. (after all they're actually paid) maybe not for conference, but peer review is more for checking if the methodology, scope, claim, direction, conclusion and relevances is sound&trustable. At least that's my understanding
In theory editors (or rather copyeditors, the editors themselves have to handle too many papers to do this sort of thing) should help with things like style, grammar, and spelling. In practice, quality varies but it is often subpar.