I think Gabriel was referring to a historical moment -- Wikimedia does use Varnish now.
"We currently use Varnish for serving bits.wikimedia.org, upload.wikimedia.org, text of pages retrieved from WMF projects, and various miscellaneous web services. Nothing uses Squid."
"We currently use Varnish for serving bits.wikimedia.org, upload.wikimedia.org, text of pages retrieved from WMF projects, and various miscellaneous web services. Nothing uses Squid."
-- https://wikitech.wikimedia.org/wiki/Varnish