The etymology is a bit different from that. Otaku does mean “your house” (important distinction: it’s always the second person’s house, not your own), but it’s also used figuratively as a formal way to refer to your family or just you. There was a culture, at least in the 70s and 80s, for enthusiasts in non-mainstream fields of interests, whether that be TV manga anime, science-fiction, wargaming etc., to talk to each other in a weirdly formal way, so they kept calling each other “otaku”.
The etymology is a bit different from that. Otaku does mean “your house” (important distinction: it’s always the second person’s house, not your own), but it’s also used figuratively as a formal way to refer to your family or just you. There was a culture, at least in the 70s and 80s, for enthusiasts in non-mainstream fields of interests, whether that be
TV mangaanime, science-fiction, wargaming etc., to talk to each other in a weirdly formal way, so they kept calling each other “otaku”.