The problem with the terms "all natural/organic" are that natural only implies that it came, supposedly, from all from the source it is meant to taste like, and organic is in relation to how that original, in this case, strawberry was "made"--and "organic" ingredients are qualifiable, so unless people can show proof of that, I'd prefer those terms be used in conjunction with documentation of some sort.
Now, in the case of the eliquid itself, and even more importantly, how those natural/organic flavors were extracted is what may reveal problem is. If they sent you an organic strawberry berry, then it would be one thing, but the strawberry flavor was obtained in some way that I can assume was not "organic." I am venturing a guess, but I think it was a bad extraction that left traces or more of the extraction technique.
If solvent or whatever was used in the extraction method had, in fact, polluted the juice, that may account for the strong chemical overtones.