The overall result, namely, that at the margin medicine has net-negative effects (i.e., after a certain point more medicine equals worse health) has been replicated many times. See for example this meta-study from 2008 about what happens when health workers go on strike [1]:

"[..] mortality either stayed the same or decreased during, and in some cases, after the strike. [No study] found that mortality increased during the weeks of the strikes compared to other time periods."

The authors speculate about the reasons: "The paradoxical finding that physician strikes are associated with reduced mortality may be explained by several factors. Most importantly, elective surgeries are curtailed during strikes. Further, hospitals often re-assign scarce staff and emergency care was available during all of the strikes."

[1] http://www.ncbi.nlm.nih.gov/pubmed/18849101

EDIT: clarity