I always scratch my head when stuff like this comes up. Not that it isn't a good idea or it doesn't have its place, but more that people think "traditional management" is a thing itself.

For instance, if I could summarize my 15 years of people and exec management it might be this: empathy and seek first to understand, then be understood (can't remember where I read this one). If I had to tack on something after this is it "take the hill", meaning a very clear shared vision so if there is ever ambiguity, people know what the ultimate goal is so they can make the right judgement call when needed (taken from the military, I believe).

My issue with things like this article is that they use different terms for the same things. It seems there will always need to be someone setting direction, someone following up that people are doing the right thing and some key decision makers. What we call those people might be different and how you "organize" could look different on paper, but those roles kinda, sorta need to exist.

Now, the feel and philosophy of the whole company can be different, but I would say that is more about the culture and how people react to good and bad news.

So things like Valve and Medium try to say they are not "traditional companies". Well, no company ever is, really. It's like when every company under the sun says they "only hire A people". They don't. They say they do and they want to, but they don't. Otherwise no B or C people would ever make their way through these companies and we all know they do. Heck, there are C, D and F people leading venture funded companies in SF right now.

So, in closing to this rambling comment, terms don't matter. Systems of management aren't important. Focus on the people, the mission and understanding both and you'll be fine.