Who's responsible if your child has a bad reaction to the vaccine and dies or is permanently disabled?
The national vaccine injury compensation fund. The US decided that vaccines were so important that if there was an injury due to a vaccine for some reason (and though rare, they do happen), it was better to create a general fund to pay for those injuries than to allow the vaccine manufactures to be sued and potentially be put out of business by an adverse legal decision. This helps ensure that there will continue to be a supply of vaccines available without having to set up nationalized manufacturing facilities (which incidentally you would not be able to sue unless the government explicitly gave you permission. How likely do you think that would be?).
The "ultra-low power" 2 core Haswell has a 35 w power budget.
There are many Haswell processors below 25W TDP, in fact that list is made up of most of the actual "ultra-low power" ones (U and Y branded). ARK will list every Haswell processor for you. Do they make lots of processors that draw more than 25W? Sure, but the trend has been flat or downward since the Core 2 release while providing more processing power (so regularly improving performance per watt). If they were binning to throw away anything over 25W they'd just end up with a lot of waste throwing away "bad" parts that work just fine in an environment that isn't that power constrained, like my local desktop. I know my processor is 84W because I wanted good performance when needed and for a desktop that level of power draw just isn't that relevant. When it's not working, it idles about the same as one of the better power bins.
I have a theory that it's impossible to prove anything, but I can't prove it.