Just because the policies are supposed to be neutral doesn't mean the resulting work is guaranteed to be truly neutral. Whether something is definitely a fact or an opinion can be very fluid, and you can play a lot with the amount of attention each viewpoint gets. Even a "neutral" article can end up reading completely differently when one viewpoint is very detailed and described in a fact-like way, while another only gets a short summary which reads as if it is a fringe opinion. And even when you are trying to be neutral, it is incredibly hard to avoid your output from getting shaped by the culture you are surrounded with.

It's a very thin line to walk, and I don't think "true neutral" or "true unbiased" exists for the same reasons you mention. A newspaper may be neutral and stick to the facts, but if it simply chooses not to publish something, or it chooses to publish something as a byline instead of headline, it's already biased.

There are organizations trying something else though; admittedly I got this through a promotion from a youtube channel, but Ground News [0] is a news aggregator that publishes news with many sources, including ownership, political affiliation, publishing type (facts or opinions, neutral or entertaining), and even notes on which channels do and don't report on it, identifying media blind spots like "low coverage from right sources" or "low original coverage" to help people escape their bubbles and provide multiple perspectives on an issue.

[0] https://ground.news/

An example of this in biased media is that people or entities of one end of the political spectrum is almost always qualified as extreme in some way while those from the opposite end of the spectrum is almost never qualified as extreme, as if it were self evident that it is true. Hard to unsee once you know what to look for.

Then give an example