It listed controlling bodies in a list that also contained "private institutions".
So, according to the wiki definition, it states multiple times, all over that article, that private companies can censor people, and it fits with in that definition.
> a company to deplatform
A private institution can absolutely censor people though.
So what you are describing is an individual advocating in favor of censorship.
Here is another quote from the article " It may be carried out by governments or by private organizations either at the behest of government or on their own initiative."