No to what?,
isn't Sky Australia a conservative news outlet? and as such biased against Jacinda Ardern. The first thing I do when I read an article is research the source, and their bio describe their orientation as conservative.
If indeed as you said " at home it was a different story." is true, and I am not saying that it is not, but if it was true wouldn't be more credible to be quoting some of those domestic sources ,and preferably not conservatives ones that might be biased against her?