Earlier quoted context omitted.
Even before Notch left I'd say others like Jeb or Dinnerbone were more commonly known in the Minecraft communities as they were more active in the community & posting about upcoming things. (then of course Notch went off the deep end and most communities rapidly began distancing themselves from him...)
And the fame associated with these names was only possible because they canes from a small indie group that broke through to the mainstream so massively successful that I can't think of any other example on that scale in the last decade. In the 90's and early 00's, many big names practically were studio, the brand.
There are still small indie groups that make breakout or successful games that hit mainstream awareness (Untitled Goose Game anyone?), but it seems like many prefer to use a company branded twitter than make their own name(s) public or just let the game stand on its own.