I don't see how that is possible. Dominant means a majority. Maybe by 2009 Linux still only ran maybe 40% of all Internet webservers, and that is being very liberal. So even by 2009, Linux was not dominant. In 2006, Linux possibly had 2-5% of webservers... if that. By late 2011, Linux probably ran 90% of webservers. It didn't happen overnight, it took more than a decade after 2001 for Linux to dominate the datacenter.
We ran racks of Linux servers in 2001 for back end processing. But our webserver ran NetBSD, like nearly all the other webservers, until about 2009. After 2009, perhaps all new webservers ran Linux, as hardware was replaced, but the Internet was still mostly NetBSD in 2006 with the rest being Windows Server IIS.