Todd, yes, absolutely correct.
She even went so far as to say "all those chairs you can see are reserved for KLM/Air France". I'm guessing she added that since it didn't seem overly full when you looked in and perhaps she'd been questioned on it previously.
I found it interesting because this is the first I had heard of any airlines having made an arrangement at the PJIA lounge for their (presumably FC/Business) customers.