Because corporations don't have children?
Incentivizing parents to parent aligns the obligation, agency, and responsibility. People who don't want that level of responsibility can not have children.
Certainly a lot of people do need to approach parenting better.
However, I simultaneously think that a lot of “personal responsibility” culture is very convenient ideology for corporations.
Nothing is ever their fault. Everything is a failing of personal obligation, agency, and responsibility.
A whole bunch of things that make good parenting so difficult are directly the fault of corporations.
There is zero mandatory paid parental leave in the United States. I wonder how much corporate money goes into maintaining that status quo?
Because there are bad parents, all people must give up all anonymity?
You are asking for society to bear the burdens of the people you want to change. That is bad policy.
I don't know, if the biggest companies in the world were setting up outside schools and in cul-de-sacs and aggressively selling colorful heroin with cartoon mascots my first reaction wouldn't be to blame parents for failing to prevent the childhood heroin addiction epidemic and call for arresting them.
I think it would be more fair and useful to focus enforcement on the parties with power making intentional decisions to make the world a worse place. I guess that makes me anti-agency and anti-responsibility though.