These neoliberal politicians seem to live in an entirely different country, and Frenk is no exception; no wonder he's now run as far away from Mexico as possible and is now teaching elsewhere, standing, no doubt, on his alleged achievements while being the secretary of public health in Mexico.
As any mexican will tell you, his boasting is far from the truth; while he may have instituted a program that supposedly provides coverage for people not otherwise under any sort of health care plan (i.e. those who are not, as workers, covered by the mexican institute of social security (IMSS), or as government workers, covered by ISSSTE), he did so without increasing health spending significantly (from 2003 to 2005 it only increased 0.2 percent and it has remained constant ever since: http://corta.me/7mz). So how can you cover 50 million more people without increasing spending? very poorly, that's how. Understaffed and underequipped hospitals, lack of medication, soul-sucking bureaucracy and hoops to jump through, I don't think that's anything to boast about; as befits his neoliberal lineage, Frenk instituted these policies for the macroeconomic "bottom line".
IMSS is supposed to provide coverage for workers and their families. However this entails people working on a stable, formally constituted company which has the obligation to cover fees for employee coverage. It's not a privilege, it's a right that companies must provide to their employees. However, since Mexico has had near zero growth in the past two decades or so (and more so since 2000, when the disastrous, conservative PAN party arrived in power), job creation has stagnated, and even receded in some cases. Millions of people have to resort to the "informal economy", since there's no company through which they can have access to IMSS, this popular insurance thing was created to give some semblance of health care coverage to the 50 million poor and underemployed in Mexico. But make no mistake; this is not the glowing achievement that Frenk would have the world believe. It's really the government hastily trying to fulfill, in a half-assed way, their constitutionally mandated obligation for health care (Mexican Constitution, 4th Article). This has been there since 1983, so actually Frenk's implementation means a 20-year lag for the government to fulfill its obligations.