Looking at the images used as an example, they don't do anything for the lens in question.
A 50mm f/1.2 is going to show it's strength on a full-frame sensor (5D etc.) and in situations where a narrow depth of field is required or low light operation is critical.
This thing is, with modern sensors, the low amount of noise at some silly high ISO sensitivity, as well as post production NR, mostly makes large aperture lenses irrelevant in terms of actually being able to operate and get a shot in dim conditions. So really the point of a lens with a wide aperture is for allowing creative use of depth of field. None of those example shots really demonstrated that.
Of course, the lens can be used on APS-C cropped sensor cameras, but it only means that framing is harder, having to move further away from the subject and therefore reduce the amount of out of focus blur possible.
I'd have though we'd be more favouring the shots of test charts and controlled conditions, being all science driven.
Taking pictures of a pretty lady with one lens and a rusty old fire hydrant with another is like playing Steely Dan through one DAC and The Sex Pistols through another, totally not an apples to apples comparison. If you are a dog you might be going crazy for the fire hydrant...