The issue of paternity was greater then than it is even now. Children not claimed by a father had no family, no inheritance, no rights. These bastards were shunned by society. For one to outright call to a powerful person as a father would have brought severe punishment. In the case of gods at the time, those accepted as the human children of gods were literally called heroes. For Jesus to tell us to call on God as our Father is truly shameless and audacious.
What's truly important is that God recognizes us as His children. In the recent Thor: Love and Thunder movie, we see that the "gods" are decadent and uncaring about humanity. This is emphasized in the beginning when Gorr comes face to face with the god that he had been devoted to his entire life. This powerful being laughs at Gorr's misfortunes and claims Gorr as a servant or slave rather than as a child. This is a fairly accurate portrayal of how the other religions of Jesus' time viewed their gods. It was the norm. Thus, Jesus' teaching that we should call upon God as Abba was utterly radical.
Paul talks about this in today's second reading. Jesus paid all of our debts out of his total love for us. As our Father, our Papa, our Daddy, God sees to our needs, provides our daily bread, and forgives us of our faults. That unconditional love is always there for us; even if we turn away from our birthright, He will leave it for us until we are ready to accept it.