Within the unversity cluster that Boghossian worked, this activity is predominantly progressive liberal because that describes the makeup of the campus. There is a very different orthodoxy if you visit conservative colleges.
Sorry, got a chuckle at that. Liberal Progressive is a pretty big oxymoron.
Neoliberals downvote anything that disagrees with their superior worldview and are identity politics proponents because it's an effective way to disrupt class and labor movements.
Progressives are the ones who want things like universal healthcare, a federal voting holiday, an end to private prisons, and for their taxes to go towards safety nets for their neighbors and communities instead of corporate bailouts and forever wars.
Neolibs want global trade agreements, stable monopsonies, and to have wage workers pay for their own healthcare, benefits and retirement on top of all of their taxes out of the same paycheck. They're largely coastal elites and other class signalers that punch hard left against any platform that might benefit their idea of a "deplorable" even if it helps other people.