You might gain information but you also gain 'information stress', with the current homescreen you feel the phone submits to you in letting you do what you want. With homescreens like this and the notification systems in competing platforms the phone is the one that tells you that 'you really should be looking at these other things as well, nag nag'.
This is useful for certain types of users, that lead busy lives. Therefore for professional users and business users the homescreen in the article will be an improvement because of the extra information but for the casual user and home user it will be mainly an increase in stress, I expect.
Apple doesn't put new email notifications and such on the lock screen or the status bar, and I don't think that's an oversight. It would be the equivalent to a blinking red "back to work! message* and make people hate to look at their phone.
This is useful for certain types of users, that lead busy lives. Therefore for professional users and business users the homescreen in the article will be an improvement because of the extra information but for the casual user and home user it will be mainly an increase in stress, I expect.