Microsoft really doesn't care about branding: once I logged in to my new @outlook.com Inbox using Outlook.com, I was redirected to live.com where I had a single message pre-sent to me from the "Hotmail Team" welcoming me to Microsoft Live Hotmail.
are you sure you're using the new outlook.com account and not an old hotmail/live one? if you have a password manager with autologin you might have gotten signed into a wrong account
I am not even certain I know my Hotmail password: I have not logged into that account in many years, and certainly not from my iPhone (which is where I just created that account).
Yeah, verified: here is a copy/paste from the message.
From: Hotmail Team <member_services@live.com>
To: <saurik@outlook.com>
Subject: Getting started with Hotmail
Date: Tue 7/31/12 9:51 AM
outlook.com is basically in beta. They haven't even updated the calendars. I suspect that they will continue to iron these inconsistencies as the launch date of Windows 8 approaches.