It is not very true but is it not in a sense

Alarm activate - remote station gets an image and takes over viewing and records what they are seeing on there servers and emails that video over to us (all via the customers internet)

Neither of those situations is cloud computing. It's remote access to a DVR. The customer is doing his own hosting.

Yes the customer stores the images too but our station also records what they are seeing and emails it to us so is that not storing to the cloud in a sense.

Just to clarify the station does not remote onto our customers DVR at any point to pull of images

That situation is called monitoring which still isn't cloud computing. When the DVR is being hosted in the arc and the cameras record only to that device via a WAN of which the customer then requires to login to that hosted system to see images is that cloud computing.

There are varios ways. Our platform offers pure cloud, ie no dvr at all onsite, edge recording (local short term recording in camera) and hybrid. Depends on the application which one is appropriate.