The OP question is poorly phrased, with no real room for nuance or understanding of what critical thinking really is.
Exactly.
The problem is that it is fairly easy to describe what critical thinking is. Then there are those individuals that insist that THEY are employing critical thinking, and everyone else disagreeing with them are just a bunch of idiots who refuse to see reason. They THEY see all the multitude of shades, and everyone else just sees black and white.
As it is described in this video, it would appear to map more to Ni than other functions, especially based on a fairly early comparison (at 0:20 or so), where it describes memorizing a solution to a problem, vs being able to come up with your own effective solutions to a multitude of problems. This is what Ni excels at, namely analyzing new problems where one cannot simply Google the answer, for example.
But critical thinking isn't JUST that. It's about being able to analyze things at all sorts of levels, and depending on the scope of the problem, certain functions will be more apt at critical thinking in those terms than others. Fe and Fi will be better at handling human/personal issues. Te and Ti will be better at practical logical/logistical issues. Si and Se I would suspect are the weakest at critical thinking as described in that video, as their the most likely to be influenced by cultural ideas and values (which isn't a bad thing, btw - there is a huge amount of unarticulated knowledge and accumulated wisdom in there).
Most of all, critical thinking is more of an attitude than a skill. The attitude allows one to develop the skill, but if one has some degree of smarts and skillz, absence of the attitude guarantees that however much one might believe in their "critical thinking" skills, they aren't really doing it.