>It's reasonable for a scientist to ask for a certain level
Maybe, but a scientist should be able to specifically describe what that 'level' is.
Instead, this article seems to present many individuals who think appealing to an abstract 'level' of their own choosing and to which they seem to not be able to describe sufficiently to anyone else (which is fishy, because all of this serves, intentionally or not, to prevent anyone from attempting to replicate their experiment).
In my view of science, there should never be a case where 'misgivings' about a replication attempt should ever be expressed. Either the experiment will be accurately replicated or it won't, in which case we can probably determine if the replication was not accurate or if the original experiment was flawed (either in design, execution, and/or analysis).
Science gives us the tools to remove things from the influence and design of opinion and to examine them from viewpoints that are as free from subjectivity as possible. Once you start moving into the realm of opinion (expressed misgivings) you are leaving the realm of science and moving into philosophy, religion, or worse.