Earlier quoted context omitted.
The article about the conspiracy theory has a disambiguating note pointing to "Marxist cultural analysis" as a more common term for the non-conspiratorial use of "Cultural Marxism". The remaining question is whether the conspiratorial use is significant/common enough that it deserves to be treated as the "default", and that's an editorial question that could be argued from either side. It's an uncomfortable situation…
Check the sources cited in this particular sentence: 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]
I'm not sure what your point is. That sentence is entirely correct with reference to the conspiracy theory - there's no actual conspiracy or "intellectual tendency" to conspire along the posited lines. Marxist cultural analysis is a rather different animal; to be sure, there are genuinely weird interactions between it and e.g. radical Maoist politics/worldviews which push some proponents of either towards an ideological extreme that's somewhat reminiscent of the 'Cultural Marxist' claims ("Destroy the Four Olds!") - but even then, that's a random/contingent political equilibrium; not a willful conspiracy or even a well-defined "intellectual tendency".