I think it would be better to have separate grants for replication studies. If something becomes a mandatory administrative burden, people will see it as low-prestige work and try to avoid it. And the kind of people who are good at novel research are often also good at ignoring duties they don't like, or completing them with a minimal effort if forced to.
But if there is separate funding for replication studies, it will become something people compete for. Some people will specialize on replicating others' work, and universities will pay attention, as they care about grant overheads.