It isn’t literal McCarthyism. Literal McCarthyism would be some within the ruling party making accusations of treason towards someone at a company advocating for the wrong political position, leading to them being black balled. A culture where you can be fired for advocating for the wrong political position, without the interference of the government, is just one where public relations are given a high level of importance.
Brendan Eich posted here that he was in fact blacklisted and could not get funding for his Brave start-up for several years.
The Hollywood blacklist was also maintained by companies and not the government. It really doesn't make a huge difference who's maintaining it, if enough employers / financiers ban employment / financing based on it.
Cory Doctorow refutes the idea that corporate censorship does not matter in their essay "Inaction is a form of action".
Was he blackballed as a result of being accused of treason by the government? If not, it’s not “literal McCarthyism”. It may be inspired by McCarthyist tactics, though.