The sales pitch was absolutely terrible, and I am not surprised by their response.
Your bullet points are noob level stuff, and as he responded, pathetic.
"over 2.5 millions queries for "Oxford Shirts" and its singular are entered into Google alone." is like using "This is a 10 billion dollar a year industry" in sales pitches. The decision makers are perfectly aware of their reach.
"Associate concept with brand" is from Marketing 101.
"Outpace the competition" is so noob that it's insulting to even say it.
---------- Post added at 09:32 PM ---------- Previous post was at 09:09 PM ----------
Nice rant.
The broad search figure is to demonstrate how many keyword variant searches that your purchased keyword can appear on.
Read this for more info:
What is broad match? - AdWords Help