I know of one priest-pastor (parish priest) who actually objects when parishioners refer to him as 'Father'. He sometimes responds: 'I'm not your father ('your dad', in other words).' And he can be quite indignant when saying it. He prefers instead to be called by his first name. (Sounds like just another 'trendy priest', I know; but this fellow has been consistent for many years.)

Personally, I don't like the title, 'Father', as it immediately establishes a relationship with a priest which has a lay person in a subordinate role, theologically, spiritually, morally...and in heaven knows how many other ways! It instantly recalls for both parties the priest's supposed superiority over the lay person and reinforces the centuries-old 'them and us' arrangement, with clergy at the top of the ecclesiastical pecking order.

Not an honest position for either clergy or laity. And not the arrangement Jesus intended.