I fly these for a hobby and have been flying for 20 years, put simply there is nooooo way that footage was shot with that drone as there are times the camera is panning and tilting and it doesn't do that. What they have done well is effectively make 1 million quid on orders by those not in the know and the hope it will perform as they say.
For more evidence that it doesn't work and no way that took that footage see here- Lily: the $499 'selfie drone' that's your personal videographer | Technology | The Guardian
I am not saying it isn't possible but it isn't possible right now and certainly not as the video dictates.
GPS is only accurate to about 9ft and although that is good that means the drone could be 18ft out of shooting you up/down/left or right and not to mention the heading it is pointing could also be out too as the compass on these is somewhat primitive, the electronics with magnets further adding to the problem, especially at the money we are talking about here. This is chump change for something that flies.
If it was me I'd get a refund and sit tight for 6 months while the firmware revisions roll in. By which time the big players will already have other offerings on the table if it works well.
The legality of using one is also worth considering, someone was fined 3500 quid not long ago for his drone flying out of control and crashed near a sub base.....the dude was only a few miles away from it to begin with so somewhat self inflicted. Even though he had no control over the model he got the blame as if you put it in air you are responsible.