The government insists on paying full price for everything they use. They would of course make an exception for national security if needed, but "don't want to pay $3k a pop" isn't going to qualify.
Isn't it an easy way to get blacklisted if you sell to private companies below the GSA price? At least that seems to be the predominant assumption most scientific equipment companies operate under.
I don't know, maybe that is a thing, and maybe things have changed, but when I was doing product pricing, our assumption was that the GSA price was going to be somewhat higher than the "discounted" price most customers would pay.