Surprising sexism aside, I think the broader point here is that focusing on specifically the women is kind of weird and unnecessary. The issue isn't that men and women are being treated equally, the issue is that both parents are expected to work.
If women drop out of the workforce, are employers suddenly going to start doubling salaries so household income will stay the same? If not, then this isn't really a problem with gender roles, it doesn't seem.
It sounds to me like the thread of logic you're following is:
- Women have started working more, so child care is harder
- Child care costs went up during the pandemic, so more workers of all genders are staying home to care for their children directly
- Therefore, there's a labor shortage.
Well, the obvious conclusion from that thread of logic is that employers apparently need women to work in order for the economy to keep functioning, and if they stop working and stop sending their kids to daycare then there'll be a labor shortage.
If you don't have a plan to fix that problem, then complaining about gender roles seems kind of useless. If you're worried about the direction of childcare and you think more women should be in that role, then shouldn't you be happy that more people are staying home now to take care of their kids, and that this is forcing the market to adjust salaries to meet the new numbers of available workers?
You can't both have your cake and eat it, you can't be upset that women aren't staying home to look after their kids and upset that there are fewer available workers to hire once parents start staying home to watch their kids.