The “behold your mother” argument that Mary is everybody’s mother:
Jesus, as the first male child, was responsible to take of his mother in her old age. Obviously, that wasn’t going to happen. Jesus, knowing what would happen to his brothers (or, half-brothers or step-brothers), knew none of them would be able to take care of his mother in her old age either. So, he passed the responsibility onto a friend, his beloved disciple John.
If there is a deeper meaning than this, it is that we should view all the old women and old men of the church as our parents in the sense that we should take of them in their old age. The New Testament draws some parameters about this in terms of when people are to be self-responsible, when they are to be taken care of by their family, and when they are to be taken care of by the church.
As to what Pope Francis means could be almost anything. There is his misspeaking in Italian (a foreign language to him) and his need for what he says to be cleaned up by people at the Vatican. Then there is the misreporting of what he says by the liberal media. Possibly, he does mean to disrespect our actual mothers the way he disrespects those who work. He seems to love the poor who do nothing but wait to be taken care of. Those whom God has cursed by making them able-bodied and willing to work are to work selflessly so that the truly worthy aren’t degraded by working among the thorns. And as for honoring those who go through the pain of childbirth, why should he? What was God thinking to kick us out of the garden and force us to be so degraded by work and childbirth?
No, he passed the responsibility on to his spiritual brother, whom Jesus placed above blood siblings and parents...