"Are you dense, are you retarded or something" but seriously just because he is your favorite character doesn't mean you are going to preach that he wins all the time. Be logical he can't physically beat some people just because you have some odd complex which means you seem to place your love for batman as equal for your love for your father than that does not give you some magical green card to act stubbornly or like an over grown brat. If you love batman so much take a leaf out his book and grow a pair.
Because they think they have a chance against street levelers them facing off against say Thor is just pointless so to try to warrant their existence and hold on to a modicum of control they attempt to show authority over the few above the law they feel capable of.
Well Bizarro is completely different to reverse flash, RF is just a counterpart everyone has them, Bats,Spidey,GL. Cap Cold has always been a blue collar criminal with morals nothing like the lonely victim Mr Freeze
Having watched the episode they both go at it and neither is harmed by the other attacks at all seemingly, they display an odd sort of bromance throughout and Hawkeye suggest that when they 'scrap' it causes 9.2 earthquakes in the local area.