Watch the video. About 3 to 4 minutes into the video, Dr. Healey discusses a 2004 report from the Institute of Medicine (IOM). She states that in that report, the IOM discourages research into whether or not there are subgroups susceptible to serious harm from vaccines. The reason the IOM does not want this studied is that they believe that this type of information will discourage people from getting vaccines. In this report, the IOM acknowledges that there may well be such susceptible groups.

If you have looked into this at all, you are familiar with the Hannah Polling case in which the US government conceded that vaccine contributed to her autism. Her father is a doctor, her mother was a nurse (now a lawyer). Her case was exceedingly well documented, which is partially why the government conceded. Listen to an interview of her father.

I think Dr Healey has it right. The government fears that any admission of a connection between autism and vaccines will discourage people from getting their children vaccinated; so, they deny any possible connection. The numbers that I see with respect to this is that the danger is to about 1 in 10,0000 people. That's a small number (not likely to show up as statistically significant in most studies) and that's why Dr. Healey asks for studies to be done on an identified subgroup, e.g. children who have autism whose parents connect it to receiving a vaccine.