I'd be careful about that. Faking replications is even easier than faking research, so if you place a lot of importance on them, expect the rate of fraud in replication studies to explode.
Well of course, but I don't think that would necessarily help much. The point is that you don't really need to do anything: you know what the results should be, and you know you are unlikely to get pushback, so there's only an incentive to do the strict minimum to create plausibility that you ran the experiments.
Basically, I think there is a sizable risk that a large number of replications would be fraudulent or half-assed, which dilutes their value. Paradoxically, the more this policy suppresses fraud or mistakes in original research, the less people will perform replication in good faith.
I could be wrong, but people are endlessly creative at subverting systems when the stakes are high, so I'm wary of simple solutions. To be fair, it's probably better than the current system, just not as much as we'd like.
This is a very difficult problem to solve.