Slusho was originally mentioned in October of 2001, during the second episode of Alias. JJ Abrams was the Executive Producer on that show, and is the Producer of the Cloverfield / 1-18-08 movie.
The Alias Slush-o logo is quite different than the Cloverfield Slusho! logo, in both style and spelling. In fact, the old logo looks very similar the the real world ICEE.