I take her seriously because she is exactly correct.
Her sentiments are good and practically every homeschooling parent and many non-homeschooling parents already know them,
I don't agree. In my experience, many parents do not know them -- especially with other peoples' children. IMHO, it is almost as important to treat other people's children this way, as it is to treat your own children.
but the story is obviously fabricated.
It is not at all obvious to me that her story is fabricated: I have known people who have done what she describes.
It reeks of liberal feelgoodisms.
To me, it reeks simply of doing as Jesus might: And they were bringing children to him, that he might touch them; and the disciples rebuked them. But when Jesus saw it he was indignant, and said to them, "Let the children come to me, do not hinder them; for to such belongs the kingdom of God. Truly, I say to you, whoever does not receive the kingdom of God like a child shall not enter it." (Mark 10:13-15)