Battles are so so dynamic , or too too dynamic to be in olympics. The dancers are absolutely olympic tier athletes and performers but, theres no, like... chalk line, balancing bar, un even bar, shot put, 8 lane track.... static element that each player competes on... two dancers, beats unknown, reactions, attacks and responses.. I just dont see how the FEEL of all that can be quantified as an olympic sport. The culture of it is well maintained in its own world of championships.
If dressage can be an Olympic sport so can Breaking. And it may not have static elements like some other sports, but it's head to head, so those things aren't needed. The better dancer wins the round it's judged just like boxing is