This is feeding into a false narrative that Fox News largely created out of whole cloth. Fox staked out a conservative position, but claimed they were 'fair and balanced'. To suggest that other news outlets, like CNN or the Washington Post must have a liberal bent is to serve Fox's agenda. Articles like this show how one media outlet has managed to shift the Overton window.
Yes, there are some explicitly leftist news outlets, some, like Mother Jones, long pre-dating Fox news, and others, like MSNBC that pivoted in response to Fox. It is wrong to claim that there are no unbiased outlets because they used the term 'insurrectionists' to describe an organized group that broke into the United States Capitol with the intent to keep Congress from functioning. It's an objectively accurate description.