Do a search at Google for google and where do you find the result for the main Google.com homepage? Currently, I see https://desktop.google.com/ as the number one result and www.google.com as the number two result. In terms of relevancy, www.google.com should be number one. But when you click https://desktop.google.com/ it redirects you to www.google.com.
Over at Search Engine Watch Forums they are discussing if the www.google.com url should show first or the deskbar. You will also notice the result under the last result in the image above is to http://desktop.google.com/, the https version redirect to www.google.com and the non secure goes to the correct place. Nice to see.