You should read the Haaretz article. (I think it was two parts.)
Just because Haaretz is generally anti-settlements doesn’t mean it’s anti-religious. Haaretz is the most neutral and even pro-chareidi secular newspaper in Israel. Gideon Levy regularly defends chareidim, and they have written numerous completely factual, objective and even positive articles about the chareidi world.
The badmouthing of Haaretz amongst chareidim is usually based on what they heard from Zionist acquaintances. Those chareidim badmouthing Haaretz usually never even once read anything from Haaretz themselves.