> I just don't understand this mentality.

It is bad faith reasoning. If you imagine a person that does not want women to participate in the workforce but wants to express that in a way that doesn’t sound repugnant, it is pretty easy to see how someone would come up with that.

The way you can tell that it’s bad faith is by looking at the context that “pay women to stay out of the workforce” gets brought up. In this case it is framed as an alternative to providing childcare, but those two ideas have nothing to do with each other. As a society we could do both. The “pay women to stay out of the workforce” or “pay for childcare” dichotomy is completely made up, and folks that engage in that particular type of make-believe are either profoundly intellectually lazy or being intentionally disingenuous.