It's strange for the author to distinguish "those who dislike the term" from those who don't, considering that the term is overwhelmingly unpopular (https://www.pewresearch.org/race-and-ethnicity/2024/09/12/ho...).
[0] Here in Canada, as far as I can tell "Hispanic" is the accepted term - but it's rare for people to identify that way generically (https://en.wikipedia.org/wiki/Ethnic_origins_of_people_in_Ca...). People here far more often attribute their ethnicity to a specific country of origin rather than to some generic grouping.