Leipzig is a bit different maybe on the money side, but they lack even more things than Dortmund, who are still a historic club with a deep relevance in German football going back many decades. Leipzig is even less polished. It will take a lot of time for them to shake off this thing.
The only way Bayern has problems in Germany is when one of these underdogs form a great side that goes all the way, and somehow Bayern have one of their lesser teams. And even then, it takes 2-3 years until that team it's dispersed and sold, probably either to Bayern (Lewa, Gotze, Hummels, probably 3 best players of Dortmund at the time, except for Reus), or to big-money teams from outside (Gundogan to City, even Mikitaryan, or Kagawa before him, also in EPL, or Dembele to Barca) when Bayern are hesitant to bring out the cash and meet the asking price.
The new candidates for this fate are Haaland, Sancho and probably more players as they will break out, who knows. Of course, they will try to win titles, but the structure of the club is to make big profits and play nice, positive football with a cool vibe. If no titles are won, they will easily get past it as if it's no biggie. That's not what a powerhouse club is about.