Is there a need to emphasize that the website referred to is an "internet" website and not an "intranet" website? Should Yahoo! say "visit our internet website at yahoo.com?" Or even the least sophisticated user knows that yahoo.com is an "internet" website? Wikipedia does not even list "internet" website as "type of website." http://en.wikipedia.org/wiki/Website#Types_of_websites
It's not a "type of website", but instead "location of website", identifying the network that the website lives on. Let's say there's an intranet, internet and extranet available. Identifying the specific network that a resource lives on is important to distinguish if it's publicly accessible and what handling procedures are used when working with it as dictated by the policies of the particular network it resides on.
This is a bigger deal in the government, especially the DoD, where there might be an Internet website, a NIPRnet website, a SIPRnet website, a JWICS website, etc.
So, sometimes it's appropriate - for most companies, probably redundant.