Yeah, attempts to show causality there have fallen down. And single parents aren't some abstract concept either; they largely aren't neglecting their kids.
And yet no sane parent would want their children to grow up in a single parent household. Studies don't show everything. Anyone with two eyes and ears can see that single parent households are not good for children. Most children that have grown up in a single-parent household can speak to this. If a culture has a high proportion of single-parent households, this needs to be addressed.