The journals reputation will be dinged if it comes to light that they have not adequately performed their due diligence. Which, as has been explained above, does not include replication.
If you require replication for publication practically nothing will get published ever. Once published, others will attempt to replicate, and it is the authors' reputation on the line if nobody manages to replicate it following the paper and consulting with the authors.
They are not going to replicate this themselves, obviously. But extraordinary claims etc, and this one is about as extraordinary as they come. Papers that are non-controversial even if they might turn out to be wrong get published all the time. But papers where 95% of the scientists out there are going to be super skeptical will find it much harder to get published. Both the authors and the publishers have a reputation to protect. Keep in mind that the peer-reviewers will have to sign off on the publication as well.
If you require replication for publication practically nothing will get published ever. Once published, others will attempt to replicate, and it is the authors' reputation on the line if nobody manages to replicate it following the paper and consulting with the authors.