Because of course, censorship only blocks the material you personally don't want others to view and never material you personally would want others to view. I can see a lot of politicians, especially those getting elected nowadays, wanting to block any discussion of minority rights, LGTBQ+ rights, trans rights, drug reform, abortion, women's health, women's rights, climate change, non-christian religion discussions, etc, etc, etc.
edit: Note that this isn't a straw man argument. All it takes is one to look at the censorship that happened in the US in the 50s and 60s (comic code, movie/television code, mccarthyism, etc. ) to see what is possible.