False dichotomy, in more than one way.
You can still educate children via remote work - as a personal anecdote, mine have done better with a hybrid school approach - and a utilitarian analysis must still take into account emotional effects on children of losing a relative.
Quite a few grandparents are the caregivers for their grandchildren, as well.
https://www.theatlantic.com/family/archive/2018/06/this-is-t...
> Some 2.6 million grandparents are raising their grandchildren, either because of a temporary change in circumstance for the parents, such as military deployment or joblessness, or something more lasting and terrible: mental illness, divorce, incarceration, death, or, as in Barb and Fran’s case, substance abuse.