No. Here's how it actually works in a modern family unit in a high-earning, dual-income Silicon Valley household:
Mommy takes time off when babby is born, as does daddy because it's not 1960. At some point during this sabbatical help is hired, and then mommy and daddy go back to work and establish their new work/home balance. The end.
It's not conceptually that different than sabbaticals not involving babies. It certainly doesn't explain systemic pay discrimination.
This affects negatively many future years of income, because your future prospects are affected by your current job.
So you should see an effect on family income but divergences in gendered income.
I'm sure sabbaticals (and even vacations) hurt careers in some scenarios, at some companies. I was responding to the notion that this was "retirement", and unique to the woman.
> You don't get a raise and a bonus for being away 1 year when you are 25-30.
People take parental leave for weeks (6-8 is typical), not a year.