The point is that _rights_ ought to be things that, in the absence of a society, you already _have_. (Life, liberty, right to property, etc) They are things that a just society is obligated to not take _away_ from you. Things that a just and wealthy society should be able to provide _for_ its citizens (health care, economic security, etc), are laudable and highly important goals. They are not rights though -- not because they aren't important enough, but simply because they are a categorically different sort of thing.

The whole reason we have the concept of rights is that a social structure in which people do not have rights is an illegitimate one. An impoverished island nation which cannot afford to provide healthcare or internet access to its citizens is not illegitimate because of it.