It's worth remembering that the CDC has always been paranoid that poor black people would start refusing vaccines in mass because of the take-off of "conspiracy theories". They used to (and maybe still do) have a whole TV show script outline they were recommending to TV shows like ER, pushing this scenario, to "inoculate" the population against that potential phenomenon coming true.
So...while it's still possible this is all nothing but a complete hoax, it has the ring of truth to it, IMO. You can search this document for "thompson" and see how the CDC decided to "communicate" their findings for the study.
They never flat-out say "no associations with race were found." They just...emphasize "older, more educated mothers" showed an increase at 36 months, and present the "parents were vaccinating early to get special ed funding" hypothesis (which I doubt they really believe...it seems more likely to me that it was a statistical fluke/coincidence, if anything.) Or maybe the effect would prove solid if replicated, or indicate a confounding factor they might find difficult identifying or designing yet another study to "prove" was "it."
The problem here (it seems, time will tell) is that the CDC would rather do some data-butchery and handwaving rather than risk a racial PR
nightmare. I can't ever imagine the CDC around that time being ok with saying "Ok, well, by some analysis the highest incidence was in black males vaccinated early, BUT WE REALLY THINK IT WAS A COINCIDENCE. SWEAR!!"
That is not how the CDC rolls.
In fact, they would have considered it "unethical" to do that, since it would "induce panic" and they would feel like there was blood on their hands if there was a measles epidemic as a result.
I desperately hope there's a full, unedited interview or statement from Bill Thompson out soon. I'm a little worried that he's signed a bunch of non-disclosure agreements (or something like that), though, and the real threat is just him facing jail for leaking classified government information (the CDC is military, remember.)