Censorship can be conducted by governments, private institutions and other controlling bodies. - https://en.wikipedia.org/wiki/Censorship

They oppose government censorship. - https://www.merriam-webster.com/dictionary/censorship (Now why would they have to specify government censorship, if there is no other kind?)

Censorship can be carried out by the government as well as private pressure groups. - https://www.aclu.org/documents/what-censorship

Originally neutral in tone, the term has come to mean the suppression of ideas or images by the government or others with authority. - https://legal-dictionary.thefreedictionary.com/censorship

Now that the facts are settled, let me mention that what you are doing is extremely common. A word has acquired a negative association, so you try to redefine it so your side can engage in the behavior it previously condemned. The exact same thing happened to 'racism'.