Yes the State does provide basic sustenance for children that go hungry but it could always do more if it wasn't afraid to tax those better off.
You're absolutely right that poor health is linked to poverty and again the State should do more to eradicate it by levelling things up.
However in extremis when faced with the prospect of thousands of lives being lost I would always say that the right thing to do is to protect those most at risk. If that means lockdowns and whatever comes with it then that's fine by me. Something's got to give unfortunately in a crisis and as I say I'd rather a business be lost than a life. Not ideal I know but desperate times call for desperate measures.