No master wanted an arrogant servant. A servant exists to serve. Arrogance rises from an exaggerated sense of self-importance. As arrogance grows, serving declines. Arrogance creates the justification for refusing to serve.
Arrogance takes one's eyes off the master.
Arrogance places one's eyes on self. Arrogance is the enemy of humility. The transition from humility to arrogance can occur for many reasons. Weariness, frustration, acquired power, acquired money, a rising sense of self-importance, and injustice are a few of those reasons. Consider Jesus' twelve disciples.