I don't enjoy being the one to say this but censored is the wrong word. Censoring is something governments do. We can't keep using the wrong words and expect communication and discourse to improve. Words matter.
https://www.merriam-webster.com/dictionary/censor As a verb, it's used the same as Merriam Webster defines it. There is no need for it to be the government, just someone that is suppressing or deleting things that are objectionable. Everyone knows what is meant here, so there's no problem with the clarity of communication.
Censorship laws do not protect against this type of "censorship". So yes, out of context it meets the vanilla definition of the word. Unfortunately, in the current sociopolitical environment where such things are front and center, the word is misleading.
Spotify is not Uncle Sam, and vice versa. Context matters, and therefore censor is an extremely poor choice. It hurts more than it helps. In fact, it's close to clickbait.