... and then we find one who, after many diseases have been controlled, argue inoculations aren't safe because she fears them.
translation: If there's anything in the world which is not perfect, or there's any mistake or bad decision by someone, that is proof that there's no free will. In order for there to be free will, there can't be one tiny microscopic or subatomic error of any kind anywhere in the universe.
This is simply a misrepresentation of what "free will" means. There is free will in the world even though people make some bad mistakes and misjudgments, get bad information, etc.
You can wrap any context you want around a 'decision' and it will still not be freely determined.
translation: There are no facts, or possible facts, or possible observations, or possible conditions of any kind under any circumstance which would be evidence of anything happening freely. Free will (or "freely") is an inherent impossibility which could never be demonstrated as true in any possible universe of any kind. The very term "free will" or "freely" should never have been invented because it's impossible for it to ever apply to anything that could ever be, and this term can never be used correctly in any sentence (except maybe to pronounce it as nonexistent and inherently impossible).
I see you stumble as well.
translation: As long as anything unintended can ever happen, or as long as anything is not absolutely perfect anywhere in the universe with not one atom or subatomic particle out of place, free will (or "freely") is an impossibility.
t = 0 is pretty specific.
translation: As long as any event in the universe happens later than any other event, there can be no free will or free act of any kind.
You can't make up your own rules how a word is to be used and force something to not exist because you define it out of existence.
legitimate meaning of "free will"
It's a "free" act if the subject makes the choice (i.e., a selection process happens (which no one denies does happen)), and if the choice happens at a point in time when the subject is conscious (which also no one denies happens).
AND, the choice must not be caused by a coercive threat (from an intruder who makes the chooser worse off by interfering), in which case the choice is not "free" even though it happens and the subject is conscious of it.
Such "free" acts sometimes happen and sometimes do not happen. It depends on what the facts are in a given case whether the act is "free" or not. It does not depend on rules imposed onto the universe which dictate that it cannot ever be no matter what the facts are.
Or, such "freedom" sometimes happens but other times is suppressed, depending upon the facts.
This is not contradicted by any scientific facts or research.
illegitimate meaning of "free will"
It is contradicted only by dogmatic decrees which would ban the word "free" or "freely" or "freedom" from ever being used in a sentence, and which would impose Absolutes disallowing any verification/falsification as is required by legitimate science.
It is not legitimate to prove something by making it inherently unverifiable/falsifiable or by defining it so that it could not possibly be true in any imaginable universe of any kind.