Whoever of the parents is earning less, in most cases it would make more sense for the less compensated parent to just switch into part-time, if he/she isn't already working a tax-free "mini-job", while the higher compensated parent takes the leave. This yields the highest income per hours@home.
But that's usually not what people optimize for, they optimize for max total income, because rent or mortgage payments etc aren't based on a percentage of income but fixed amounts. Sure, it's great if you only work one hour a month and get 1000€ for that instead of working 100 hours and getting 4000€. But if your rent is 1100€, what good does that do?
Does it matter?
This option gives you neither.
Rather, I have a colleague who took paternal leave with their partner and afterwards switched to part-time for a bit.