This is mildly good news, although I suspect that more evidence might be needed to nail the causality here.
> Remote work has the biggest effects on fertility for women who already have several children, and no effect on the fertility intentions of women who have no or one child.
This is the bigger concern though. I suppose no effect is better than a possibly negative effect which one may predict (intuitively you may meet your partner at work and that may not work so well when remote), but it is the more crucial segment to address.