A better solution would just unpaid parental leave for both sexes, with a stipend paid for by the government.
The idea of paying people some percentage of their salary while on parental leave is an incredibly regressive policy and should be banned.
People who make more money for working make more money for not working. That's literally the definition of regressive.
To quote Wikipedia: "In terms of individual income and wealth, a regressive tax imposes a greater burden (relative to resources) on the poor than on the rich: there is an inverse relationship between the tax rate and the taxpayer's ability to pay, as measured by assets, consumption, or income."
And that's assuming the government takes the money from thin air. If the government gets the money via a progressive tax, then distributes it in a flat manner, it's overall a progressive tax.
For example, a speeding ticket is a regressive system, because a $200 dollar ticket is a lot more damaging to a poor person than a rich person.
Yes, apparently-flat taxes can sometimes be regressive, for example a flat sales tax can be somewhat regressive because poor people spend a higher percent of their income compared to rich people. But this thread isn't about sales tax, so I don't think the flat tax in this situation is regressive.
Man do I have bad news for you, my company gives people bonuses when they have children.