Lucy,
I've been thinking about how to respond to this question for a while now. I wanted to answer it the moment you posted it, but I recognized quickly that it would take some time to address properly.
On that note, I can think of two answers to this question. The first is a bit simplistic, and I hope you'll bear with me here: the the type of writing you are talking about--describing the ecological emergency--sounds like science writing and/or investigative journalism that is grounded in facts. There are certain conventions to those genres that involve the author "removing themselves from the equation" so that they can come across as being an impartial observer. My experience has been that such impartiality is uncommon, and that adopting the "forms" of writing impartially does not make it actually happen--it simply renders the writing soul-less. As such, there is a large market for people who are willing to move into complicated subjects like the climate emergency and discuss it from a personal angle. So, in that sense, at least, it is entirely possible for a person to bring personal, self-identifying details of their observations and reactions into writing about topics like the climate emergency. I've tried my hand at this myself -- you can take a look at one of my articles on the climate emergency at the following link:
There's a second response to your question, though, that I think is more fundamental, and that is whether it is possible to tackle those complex subjects using mindful writing while still maintaining the impartial "just-the-facts-please" forms of their genres. And, by and large, I think that it is not only possible, but that doing so makes for much better writing.
It's easy to come away from this piece with the impression that I am advocating for a type of writing that is personal, autobiographical, and navel-gazing. And, to be fair, that is the general tone of this piece. However, the basic principle I am advocating--that you should try to mindfully attend to details, keep a faithful record of your observations, and report those honestly and un-pretentiously along with your reactions--actually applies much more broadly than autobiographical writing.
In the context of impartial writing about important topics, the admonition to be mindful means resisting the urge to gloss over details on your way to a conclusion. It means paying very careful attention to the minutiae that are used to demonstrate a point, and being willing to delve deeper into the body of facts that are used to draw conclusions than other people. Reporting your reactions means taking the time to synthesize that information in your head and give an opinion that is yours, rather than one that is simply a passive regurgitation of somebody else's opinion. It also means connecting it to your own pre-existing body of knowledge and being unafraid of sharing that with others.
I think, for example, of Richard Feynman, who dealt with math, which is arguably the most abstract, matter-of-fact topic that most people deal with regularly. Most people manage to suck the life out of math, but the best mathematicians, like Feynman, somehow manage to treat it in a way that is lucid, accessible, and full of their own character. I'm not simply talking about his popular writing--if you look at the Feynman lectures on physics you can see him at his best, laying out the principles of physics in a way that, without involving personal details, is nonetheless uniquely his own. His understanding, connected to examples drawn from his history, presented to students with simple words, with clarity and honesty, in his own cadence, with no pretense and no wasted words.
So that's my two-part answer to your question. One part is that we should be willing to tackle big topics like the climate emergency and make them personal, writing about how they interact with our lives, and once we do, all of the advice I have given here applies. The second part is that even if we don't do that, the advice I've offered here can still be useful, if you take it in a slightly more abstract sense--paying careful attention to the topic being discussed, treating it with a willingness to explore and catalogue nuances, and reporting it by referring back to the full network of your own knowledge, drawing from your own history of learning to find worthwhile examples, parallels, and analogies.
Best,
J