It should be illegal to provide for your family? Every man for themself?

Assuming the most generous interpretation of your statement I still think it's putting the cart before the horse. Generationally accrued wealth is currently one of the only paths out of destitution for many people. Inheritance should be unnecessary but until such a time as adequate housing is guaranteed familial property has to be a thing. (I wouldn't be on board even in a proper post-scarcity society, homes are more than just places and personal property is accepted in all but the most extreme interpretations of socialism.)