During my Uni they mostly used the three kingdom view, but suggested that there might be some changes coming in due to progress in experimental and conceptual methods. Which included cross species RNA/DNA etc. exchange even from within different kingdoms and that humans/animals also contains a ton of other kingdoms, so for complex life it ought to not be mistaken with "heights of evolution".

However the conviction was that mostly the categorization was useful enough, in many cases even as if.

I'm a bit confused as with the three domain view, it is informed by genomic analysis

Yeah, I think it has also a bit to do with the cultures in research places and countries. The gap between the concept (which is for humans) and phylogenetic trees is to be underlined. However I am not informed enough to tell anything more than that and thank you for your comment, it lead to some interesting read ups.