I think people who throw around the word censorship in any and all situations willy-nilly have no idea what it means. A company wanting their product to not be a toxic hellhole is not censorship, it's just a good ux design and good pr.
Censorship is not limited to governments or public institutions, private companies or interest group are fully capable of also exercising variying levels of censorship be it through direct or indirect means, but a company developing a product how they like/want/thought would be good for the intended market use is not in any way censorship. Chatgpt is not limiting your forms of expression, it's not making any content disappear, it's not suppressing information from reaching you, it's simply not engaging with things it doesn't want to engage with
The biggest irony of this is that demanding that chatgpt engages with things it doesn't want to is in fact a clear form of limiting/orienting it's expression which could easily be classified as a type of censorship