I think the better way to word this is likely "having your primary support halved does not help". It's likely to forestall the obvious insurance rebuttal by not specifically tying itself to financial concerns, as emotional and educational support are at least as important, if not more so, in my opinion.
That's assuming a two parent income. What if one parent stays home with the children instead of working? Yes, you can get insurance. No, it doesn't replace a lost parent.
