I think you are underselling yourself. As far as I can tell, at a globally distributed engineering org, clear written communication is probably more important than the code you write, because it has more impact - it has an effect on how everyone else writes their code.

It might come easily to you, but me and other people I know often draft emails and such 3-4 times, asking for proofreading from trusted friends.

Yea, the proofreading for docs and writing client copies isn't fun, but the skills to do these well help all of your written communication immensely.

Your org could be very different, but I feel like I am recognized in large part because I care about communicating, and put a lot of effort into clear emails and docs. Part of your recognition could be because you have great writing skills.

Just ask for more money for doing it then. Or push to not do it. If you end up not doing it then your saved the work. IF they pay you money, you get the prestige.

Ah, I see where you're coming from.

The benefits don't accrue as much when you're writing material you've been told to write, especially when it's not something the recipient will be happy to receive. Those can be valuable learning experiences, but it's not harvest season yet.

The value comes when you CHOOSE to compose messages meant to persuade YOUR peers and internal stake holders. Your skill with the pen gives you a voice, like a bard who can urge a crowd to action.

What words do we associate with those kinds of people?

Influence

Leadership

Writing can help get you there