In my experience, yes. Books are always there, easily accessible and if the parent is savvy in selecting delicious titles and strewing them about… how can a child NOT become a reader? Investing in (good) books then, pays a high return on dividends. Here is a(nother) study proving this point.
“…growing up in a home where there are books on show is far more important than having educated parents. Growing up in a home with a 500-book library propels a child 3.2 years further in education, on average.”