Your reply applies (at least) equally well to the following argument: all plants have green leaves; roses have green leaves; therefore roses are plants. In both cases your reply would defend an obviously silly inference pattern by pointing to one instance in which it leads to a true conclusion. (Although in your case the inference actually predicts that hospital-provided medical care has a negative marginal effect on health, not a neutral one.)
Not really. Illness is a proximally transitive property; being in the same room as an ill person can, indeed, make you ill. It only leads to support of silly inference patterns if you disregard the actual meaning of the words used in the logical statement.
My roommate recently sent me a review article that LW might find interesting:
Personal observation says that LWers tend not to drink very much or often. Perhaps that should change, to the degree suggested by the article?
Full article here.