Many people won't answer a question like this honestly, I'm afraid.
Few people will admit they're more interested in ideology than accuracy — a die-hard Trumpist will still likely claim they value accuracy even if they get all their news from hyperpartisan outlets like Fox/Newsmax/OAN. It's just that they believe accurate claims only come from outlets that support their ideology.
Supporting real accuracy means accepting that the truth isn't what you want to hear. Say, that Democrats can be scummy (see: Andrew Cuomo), or that Trump knowingly courted racism and sedition. You may accept that philosophy on the surface, but it's not always easy to apply it in practice.
Also, some people just don't understand what accuracy is. It's not, as
@Juiblex suggests, always about hearing "both sides." Sometimes only one side is correct. Trump lost the election, and voter fraud is not a significant issue; human-made climate change is real and needs to be addressed; Democrats let Cuomo's behavior slide for entirely too long; COVID-19 is a serious pandemic that requires safety precautions.
There are certainly issues where there's a degree of subjectivity, but sometimes the "other side" is just... wrong.