larry - my situation was designed to be about basics, FWIW. Loaves of bread would have been a better example.
But yes, surely, if you have a child who is disabled and needs financial support through life, and another who is not, could you honestly imagine saying 'ahh, fuck it, DC1 will probably die prematurely in poverty, but never mind, DC2 will have that deposit on a house!'
You see, we are not talking about two nice, well-off children to whom the money represents only their parents' love. That is not a replica situation - and it's one in which, of course, you would demonstrate you loved your children equally.
But when we are representing not affection but need and privilege, no, it is much more just to give to the person with greater need and less privilege.