Thomas Dixon's The Invention of Altruism (2008) is the book-length version of the birthday story, and it does not land where the title does.
Comte coined altruisme in the early 1850s as a Religion of Humanity slogan. In the Système de politique positive he wrote that "to live for others" was the whole of positive morality. G.H. Lewes brought the word into English in the Westminster Review in 1852. That is a secular catechism — live for Humanity — not a puzzle about why isolated people would help.
The puzzle this post is fighting is later. Hamilton 1964, Williams's Adaptation and Natural Selection in 1966, E.O. Wilson calling altruism the central theoretical problem of sociobiology. Comte wanted more other-regard, not an explanation of why it was mysterious. If you need a replacement for the 1850s coinage, Dixon's is older English: charity, sympathy, duty. Those never required a transfer between opposed atoms.
Elliott Sober and David Sloan Wilson's Unto Others (1998) is cited for the group-level point that "sacrifice" is the wrong word once the unit is the group. Skip to Part Two and they keep the word.
Evolutionary altruism is a fitness cost to the actor. Psychological altruism is an ultimate desire for someone else's welfare. Those do not entail each other. A parent who wants the child to do well as an end in itself is a psychological altruist; if that care raises inclusive fitness it is evolutionary selfishness. Their argument for parental care is reliability: a parent keyed directly to the child's welfare is a more reliable caregiver than one who helps only as a route to a better mood.
That is a positive model, not just a complaint about the title. It predicts the same inner life the post wants to keep — genuine care — and refuses "there is no altruism." What would split them: if you can turn parental helping off by offering a mood repair that does not require the child to be better off, hedonistic egoism wins; if helping stays high, they keep the word for a reason.