Twitter is the complete opposite of "the free press".

Twitter's admins arbitrarily remove content that they disagree with, while allowing content they do agree with, regardless of whether said content is illegal or not.

Twitter provides a platform for people who would otherwise have no media representation. A lot of news regularly breaks there and a lot of discourse that the regime is unable to control, also happens there. It is as critical as any "free press" in a country like India where the regular press kow tows to the regime and the country is ranked at 142 for press freedom. https://rsf.org/en/india

You take it away and you take away more "free press" from the citizens of India.

And the whole objection is that Twitter is not bowing down to the requests of the government to censor what the government feels should be censored.

So the crux of the whole thing is not the censorship but the entity censoring the content. And obviously the government wants to wield this power.