

You can be completely factual and still biased by the language you use and what you choose to focus on. Publicly-funded media is great and all, but that’s because its bias is obvious and upfront, not because it is unbiased. Attempting to be purely objective leads either to a status quo bias or a “centrist” bias where multiple extremes are presented as being equally valid.
Why does it matter?
That does not make them a purely objective and neutral third party, particularly when they are funded/employed by a state.
I presented two different examples of how they can be biased; you have ruled out the latter and not the former. I don’t even need to have seen Dutch news because you have actually expressed their percieved bias yourself, though you don’t realize it. Supporting the validity of the constitution of their state government is a bias, regardless of whether or not you believe that to be a good thing. This is the status quo bias I mentioned.
I think you perceive the word bias to have a negative connotation, but it is actually a neutral term. A bias in favor of human rights, for example, is IMO a good thing.