In my home country we say sometimes it's better being smart than right. The recruiter is doing their job and antagonizing them, no matter how right you are, is not the smart move.
My point is that the recruiter is a collossal screw-up, and its imprecise to describe what they did as 'doing their job'. Unless their job is to alienate qualified applicants.
I might be wrong, but as far as I know PE's are recruited to have SysAdmin expertise as well. It's clear that the resume didn't reflect that as well as it should if this was even being asked.
I wouldn't know for certain but I'd think they'd be looking for experience with scripting languages and deployment systems as well.