I dunno, if your definition of "non-neutral" news ropes in the national weather service saying what temperature it is outside, I think it might be too wide of a net...
1. The NWS does not post only global mean average temperatures
2. My comment specifically said it would be apolitical for a weather service to report this
3. If the New York times were to have an entire issue with just the global mean temperatures over time, that would clearly be both politically motivated and non-neutral.
There are 3 things that you seem to be confounding: apolitical, politically neutral, and factual. One can select which facts to report with the intention of motivating specific policies. That is neither apolitical nor politically neutral, but is factual.
The NWS was commissioned to observe the weather long before climate change was on anybody's radar, so it's clearly apolitical that it does so. The fact that some significant fraction of one of the two major political parties in the US wishes it to stop should be clear evidence that it is not politically neutral. That's fine! There is no demand in TFA, or any of my comments that any or all government agencies need be politically neutral.