I understood that the initial criticism was that the phrase 'Punch into Google' was not sufficiently clear or at least was too informal for legal correspondence.
Even if this was restated in formal terms the same deficiency you describe would still be applicable.
If the original criticism was that the phrase did not disclose sufficient information to identify the particular circumstances surrounding the search results, then the reality is that even if this information was supplied, it would not assist.
The appearance of a post in search results is not the actionable matter, but rather the underlying cause of such appearance (for example a defamatory post referring to x, which then appears in search result for x).
Here, the alleged issue was the reference to FJ on The Oatmeal's site which was in fact completely legitimate.
Disclosing the specific circumstances surrounding the search would only have served to dilute the point of the letter, which as has been mentioned was intended more as a shakedown (albeit a completely flawed attempt at a shakedown).