What could be wrong with offering a one year old breastmilk?  Even if a
toddler is busy running around doing toddler things, wouldn't a responsible
person offer them something to eat?  Not force them to eat, but at least
encourage them.  Should we really only give a toddler food when they ask?
Human breastmilk is the ideal food for a human child, much better than most
of the other foods toddlers like.

Not offering at the age of one is an active method of weaning on the
mother's part, it is not natural weaning.

Lisa Haider