I usually don't like how every google product is just a subdomain or a folder of the google.com domain. Products with runaway success need to have their own domain. Can you imagine if Facebook was at microsoft.com/facebook? Or Twitter was at google.com/twitter? That would seriously slow down adoption.
Gmail.com redirects to mail.google.com, but they own the domain, and I ALWAYS type that in instead of typing mail.google.com.
Picasaweb.com is the same way.
I get your point, and it's not a bad one, generally speaking, but my gmail and picasaweb logins are automatic after I've logged in to any other google service -- I just cleared my entire browser history / passwords / cache etc., to make sure.