Both are terms that are generally used to disparage views of others. Except for the new 'Neoliberal' clique who are centre left most people described as Neoliberals don't describe themselves that way. Just as what many right of centre would term as 'Cultural Marxists' wouldn't describe themselves that way.
That's quite different from referring to the other side of a debate on sexuality as 'Cultural Marxism', despite Marx having had zero interest in sexuality, many self-proclaimed Marxist states having conservative policies on it and few people on that side of the debate having any interest in Marx. At best, you could argue right wingers describing their culture war opponents as Marxists are trying to invoke the spirit of Joe McCarthy rather than Lyndon LaRouche's ridiculous Frankfurt School conspiracy theory and literal Nazi origins of the term.
Scholarly analysis of the conspiracy theory has concluded that it has no basis in fact and is not based on any actual intellectual tendency.[5][7]
From a quick Google search, I was able to find other articles that draw this distinction clearly (example https://spectator.us/whats-wrong-cultural-marxism/). However, the Wikipedia article doesn't draw this distinction well, and it seems intent on casting the phrase "Cultural Marxism" as racist, and so it features the worst interpretation of it. It sources articles that are also written primarily to repudiate right-wing political figures or intellectuals like Jordan Peterson. The related debate and edit wars are apparent when you look at the "Talk" page for this article: https://en.wikipedia.org/wiki/Talk:Cultural_Marxism_conspira.... Note that the Talk page mentions the article is controversial, is in dispute, that there have been attempts to recruit editors to change the article, there have been circular sources introduced, and so forth.
That's just one example, but if you dig deep enough into any topic that has a left- and right- perspective and a Wikipedia article, you'll find the same. Wikipedia is, in my view, developing a US-centric English-centric left-leaning bias. All that said, I still love Wikipedia and will continue to use it everyday. I just worry that like all human-centric institutions, it is itself a target, a theater of battle in the on-going ideological wars.