Sometimes master’s arrogance is pure ego, which is always counter-productive to expertise.
Other times, though, arrogancy is more of a moat that saves time and resources by warding off bikeshedding or harmful suggestions coming from insufficient expertise, it is intended to be broken through if you have an actual point and underneath the personality is open to new ideas and cares about delivering the best outcome. (Moreover, if all you have is expertise, and a clueless but very politically adept team member suggests a Very Bad Idea, you may not just lose time fighting but lose the actual fight—so you’d rather put it down before it grows.)
There’re also all the individual ways of expression where a person may seem arrogant or rude just from their choice of words, whereas in fact it is a sign of friendliness & means of reducing social distance in their world.
Other times, though, arrogancy is more of a moat that saves time and resources by warding off bikeshedding or harmful suggestions coming from insufficient expertise, it is intended to be broken through if you have an actual point and underneath the personality is open to new ideas and cares about delivering the best outcome. (Moreover, if all you have is expertise, and a clueless but very politically adept team member suggests a Very Bad Idea, you may not just lose time fighting but lose the actual fight—so you’d rather put it down before it grows.)
There’re also all the individual ways of expression where a person may seem arrogant or rude just from their choice of words, whereas in fact it is a sign of friendliness & means of reducing social distance in their world.