So I'm not sure about this, particularly in the context of this article. I think it definitely applies to the splashy, Spotlight, one-off projects that will make a career with one shot. But a lot of careers aren't made that way, and this article is specifically talking about the ones that aren't.
I've found that trust is a currency in a corporate environment, possibly the most important one. And trust is built over time. If you work behind the scenes to ensure the success of a project but don't claim it, there's a decent chance somebody else will, and maybe it'll appear in their promo packet. But if you are in the vicinity of enough successful projects, over a long period of time, there's a good chance that leadership will notice that the common element is you. And in the process you'll built up a good reputation and network, so even if leadership gets replaced there are lots of other people that want to work with you. Promotions come slower at first, but they eventually catch up since you don't need to suffer the resets of failed projects and new roles.
As you suggested, promotions tend to come more slowly. You're also likely to hit a lower ceiling than someone who is better at promoting their work.
> But if you are in the vicinity of enough successful projects, over a long period of time, there's a good chance that leadership will notice that the common element is you.
This is only true if average tenure of leadership and management is more than a couple of years.