Surely that is an idea that quite many children from large families, would already have.

When I did an informal survey, of people I work with and friends, of reasons why people should have many children, one answer somebody suggested, was of course, that people who grow up in large families may have had a good experience, and want to repeat it for their children. Of course other answers were "animalistic" reproductive urges, pass on one's genes, don't believe in birth control, stuff like that too.

Yes, of course children from large families should be encouraged to have "litters" of their own, as one of the practical reasons for encouraging large families and pronatalism, is the natural ENLARGEMENT of the human race, for the greater good of the many.