I use my Hotmail account as my Microsoft account, but I also have an Outlook.com email account too. I successfully added the Hotmail email account to my phone but it won't let me add the outlook one...
I have an Outlook and Office365 account on my phone, but when I try to add another Outlook account it fails. When I try to add an account it says it is going to take me to Outlook.com "to authorize Windows Phone to access your account", whatever that means. When I hit connect it just goes back to the same message and doesn't do anything useful. I don't need it, I was just trying to see what the OP was talking about.