You're wrong:
My emphasis. They must publicly post what they know about those pens. They haven't posted anything, so absence of evidence, by law, means nothing in this specific case.
My god, that's
total gibberish.
Er, no. I don't think there's a single sentence in there that is correct. I don't think you could have gotten more wrong if you had been labouring for weeks in a high production Wrong mine with a power drill and a mission statement. The Canadian Federal Government couldn't generate that much Wrong in a month, even by tapping in to the National Wrong Reserves and borrowing heavily from the Australian Minstry of Wrongness. If Oxford University ever wants to establish a Regius Professor of Wrong, I think you're the man.....
Did I mention that your understanding of the FOIA procedures may not be entirely correct?
If there's information that you want from the (US) government, FOIA provides a method for you to ask, and the goverment is required to dig it up and send it to you (barring a few specialized circumstances). They are under no obligation to proactively dig up whatever information someone might ask for that they have and to broadcast it to the four winds in the pious hope that it will eventually reach the right person.
Just as an example : how many Federal Judges were born in July? Were more born in July than in August? How does this vary from Circuit to Circuit? Which Circuit has the highest percentage of Judges whose phone numbers are prime?
The answers to all of those questions are (I believe) a matter of public record, but I can't imagine any sensible person asking them. If I were to ask, some poor bastard would be detailed to comb the records and send them to me -- but I can't imagine any sensible person asking. And for this reason among many others, FOIA limits the government's responsibility to responding to queries.
As your citation itself says : "This means that
an agency is only required to look for an existing record or documents in response to a FOIA request."
If no one wants a record or document, they don't need to publish it.
An agency is neither required to collect information it does not have, nor must an agency do research or analyze data for a requester.
If the information you want is requires collection/analysis -- for example, "how many cases of X," they don't have to waste time themselves running the numbesr.
Requesters must ask for existing records.
If they don't have the information, they need not make a special effort to dig it up from outside.
The other limitation is that the law requires that each request must reasonably describe the record being sought. The request must be specific enough to permit a professional employee of the agency who is familiar with the subject matter to locate the record in a reasonable period of time.
It has to be a specific enough question that they can answer it.