This should be merged with the larger STPC thread but I'll answer here anyway.

There are a number of variables that determine eligibility for Dubai connect; you must be on the shortest connection, be greater than 8h stopover in economy and have a minimum spend. The best thing to do is login to 'manage my bookin'g and you will see the Dubai connect link if you are eligible. If you need further clarification then you can call Emirates and inquire.

Travel agent issued itineraries can also qualify for Dubai connect if the criteria is met.