Good Sims will not be able to fight a burglar, even if they have Brave or Can Apprehend Burglar traits. Inside The Sims 3: Late Night community lots, however, they are still able to initiate Brawl, like most other Sims.
Good Sims can have the Mean Spirited trait, which is considered equally mean to Evil trait.
"Won't consider doing Mean interactions" means actually having most Mean interactions locked from the Good Sim, even if they also have the Mean Spirited trait. As a general rule, only Mean interactions related to anger such as "Argue", "Accuse of..." or "Yell At" are available to Good Sims. Mean interactions that pose major changes to relationships like "Break Up" or "Ask to Just Be Friends" are still available to Good Sims as well.