I didn't watch it, but Pete Buttigieg seems like a very interesting guy. Also from his wikipedia page :
He ticks all the boxes for being the future of the Democratic Party ! He really looks like a great candidate, but I'm afraid he doesn't have enough experience to be DNC chair. Ellison is probably way more qualified.
Also I'm afraid Buttigieg would have to quit his Mayor gig. He should rather run for national office in the next years in Indiana. He can be the gay Barack Obama, but this time with actual change.