I doubt a beer house is doing anything special to their burger or using different quality of meat. Sure, there can be a difference, I just don't think either of those two beer houses are the place you are going to get it. The burger wasn't bad. I have certainly had much worse $9 burgers from places that are "burger places".
And I can't buy the theory that they charge less because people don't go there for the burger. No one is going to the Lager House for a burger either, but it's about 60% more for a burger there (assuming the fries that come with the burger at Hof are the same $2 extra). 60% increase is a whole lot.