Before we had that, we had a icon that just looked like a text file mime type with zero recognizably.

Even if you used it for a week, you would not be able to know which application is running just looking at the icon. Could be any editor or some word processor.

With the current one, it is clear. And yes, I think that makes sense, that is a brand.

And it is what most other applications do, too. I doubt my mother has any idea what e.g. the Chromium icon means, but once seen a few times, it is clearly recognizable.