The argument (as I've heard it) isn't that LSD doesn't work, but rather that if you don't have 30 hours/week like most non-pros with jobs, then the hours you do have are better spent on SST and threshold work.
The article abstract sort of sets up a straw man in this regard. I don't think most people here would actually claim that "brief, high-intensity interval work is the only form of training necessary for performance optimization" as it says.