Edit: welp, looks like the study has serious problems. They got me. Thanks poster below for pointing me to the discussion.
Sample size of 235 mothers of autistic kids and 121 mothers without. Self report from mothers of daily aspertime consumption. Daily consumption was three times more common in the mothers of autistic children than the control group.
If it can be replicated then this seems like pretty compelling evidence. Get ready for the class action lawsuits...