I think the Stuttgart match to be played in Munich Arena will end with Bayern Munich's victory. Because Bayern Munich does not lose easily in their own field. Also, their situation this year is better than last year. However, I agree with you that they conceded too many goals.
Bayern Munich has not loss any of there Bundesliga matches from there home but they loss only one from this champions league, so Stuttgart does not have the capacity to break that record for Bayern Munich on there domestic league and besides with the strength of Stuttgart the clubs they are even supposed to be playing with is Mainz or FC Heidenheim because we can only equate there performance with this two clubs but for Bayern Munich is like a mission impossible for them and it seems Stuttgart is even about to loss two different league matches because after they play with Bayern Munich they will be facing Juventus and they will also be ready for Stuttgart on this champions League so I feel bad for them because those matches are very close and after battling with Bayern Munich they may not really regain back there energies to play with Juventus again.