It seems to be that there needs to be a parent/carer campaign with the type of profile that U4T achieved to support teaching and other schools staff in their campaign for safer schools, and to pressurise the govt into legislating policy that would protect as much as possible parents in the workplace, especially working women, especially lone parents.
Both are long overdue. Schools have been systematically under-funded, under resourced, over-crowded and devalued for years. The sex-based pay gap and other sex-based disadvantages esp for mothers with young children are well researched and documented.
I'm not sure what the latter would look like. Extending the furlough scheme so that one parent can provide childcare doesn't address the work that still needs doing, nor does it provide protection in industries where there have been widespread redundancies.
Some sort of universal basic income, in line with living costs, so that people weren't in the position of losing their homes etc through redundancy and/or having no access to childcare or schooling while working would help.
It's of no benefit to the individual or society that people find themselves in the the position OverTheRubicorn describes upthread. Sure, in a global pandemic, some roles will be redundant, but the same people being disadvantaged repeatedly ie women with children esp lone parents needs to be addressed as a matter of public policy.