And now Sony have announced the new A9 MKIII stills camera that also has a global shutter:

So, given that it’s not really a new thing – why doesn’t every camera have a global shutter?
The main reason is noise – and in particular fixed pattern noise that will show up in blacks and deep shadow areas if you try to lift the shadows or use high levels of gain. With a global shutter the signal from every pixel is globally shifted into a memory cell at the end of each exposure period and then those memory cells are read out while the next frame is being capture. Each memory cell will have a slightly different very tiny signal offset and as the arrangement of the memory cells never changes these offsets get added to the signal and appear in the output as a fixed noise pattern. It can be harder to eliminate this fixed pattern noise in post production compared to random noise and it can look very ugly, not at all like film grain.
In addition the readout can be delayed by up to 1 frame more than a rolling shutter sensor as the readout from the sensor to the image processor must wait until after the frame has been captured and shifted from the pixels to the memory cells. This adds additional latency to the monitoring (not really an issue in a photo camera, but more of a problem in a video camera).
IQ IS A BALANCING ACT.
I have no doubt that the A9 III is a great photo camera and that it’s global shutter can bring some benefits such as eliminating the need for a mechanical shutter and very high speed flash synchronisation. But these benefits are not essential for a video camera. In the future maybe all cameras will have global shutters, but we are not yet at the point where a global shutter doesn’t have any downsides. The extra memory cells, the extra transistors used to control the movement of the tiny signals on the sensor all add a little extra noise. The sensor might run hotter too especially if used for video. Plus the sensor is probably more expensive to make. So, while I think the A9 III is a welcome addition I don’t think it makes our rolling shutter video cameras obsolete. The majority of films shot on film had a small small amount of rolling shutter caused by the sweep of the cameras rotary shutter across the film.