As someone who is a pretty good writer, with a long career, I've never experienced any project or workplace actually caring about my ability to write or rewarding me for it (beyond some lip service)
Somewhere in the middle, my place definitely values good documentation. I’ve gotten kudos for it and I’ve had my manager bemoan poor docs written by other engineers as a sort of “doesn’t meet expectations” signal.
We don’t explicitly put aside time for it, but it’s expected as part of normal work. Though mostly for upfront design. Less often for after the fact design.