I guess for Columbus the most obvious one is The New Bomb Turks, and that was definitely the case for me through high school. Was so incredibly excited to see them for the first time (same day as the Gibson Bros. reunion; had to miss the Oblivians at the after party because I was 17 haha). I guess at this point, the Cheater Slicks could also count, even if they are transplants.
But we also have a lot of figures who embody what the city's underground music is all about: Ron House, Mike Rep, Don Howland, Tommy Jay (R.I.P.), and Jim Shepard (R.I.P). There's a ton of great music spread across their discographies. So for me, I guess the real hometown band is the one-off Ego Summit project, which could be the best record ever out of this city.