Yes, academic and medical journals should refrain from publishing the results of studies that cannot be replicated. If the study cannot be replicated then it may not be reliable. Only studies that can be replicated and verified should actually be published in academic and medical journals. No other studies shoould be published.
Yes, academic and medical journals should not publish results of studies that can't be replicated. If it can't be replicated, the data cannot be proven to be useful and therefore is not usable to any one. There is no point in seeing data mentioned or written about that is not usable by others.
As interesting as these studies are, there is little point in them being published if they cannot be replicated and nothing can be learned from them. The point of academic journals is to share information that can be used by others and help them, not to boost someone's ego and make them feel good.
Some scientific announcements fuel the national imagination. Cold fusion comes to mind. But that's a small gain to offset the letdown when the studies or experiments cannot be repeated by other scientists. And there will always be people who remain confused, never realizing that what they heard about once was impossible to replicate. Scientific and academic journals, to be considered serious resources, have to wait until results have be replicated and proven before publishing.