Culture teaches that arrogance is an unwarranted valuation of self. You are a being of unlimited value, culture is lying to you.
Arrogance is condemned by culture because culture does not want people to understand how much they are worth. It purposely confounds the meanings of arrogance and conceit. Conceit is believing that you are more valuable than others. All people have infinite value. To be conceited is to degrade the value of those around you. Authority is the ultimate conceit. It lays people low lest they believe that it is they, and not law which has value.
Arrogance is an understanding of your own worth. Culture condemns it in order to suggest that you are really not of sufficient value to do, say, or accomplish things that you desire. Arrogance offends others because they have been taught by culture their entire lives that they have little or no value. They are hurt by the misunderstanding that arrogant people are better than they are. They are taught that arrogance is conceit.
If people were not so easily swayed by the doctrines of culture, they would recognize that all people have equal value. When they see the arrogance of a person who has faith in themselves above that of their own, they would rejoice. If an arrogant person has great value, then so do they. Culture condemns arrogance in order to crush the spirit of faith.
Without culture, people would allow themselves to revel in the inspiration that arrogant people provide. The arrogance to believe that we can fly, cure disease and accomplish wonders! The arrogance to suggest that you can govern yourself.