That video is from a private company that operated from the short term car park but now operates from the multistory. I personally would not trust that company to look after my car as I have seen the type of drivers they use as they take the cars off airport to re-park them. The company has put in a planning application to build a reception centre off Eaton Green Road in a former Vauxhall car park next to the Easyjet staff car park and will bus passengers to the terminal.
The airports in-house meet and greet priority car park operation operates from the floor below. They used to park cars exclusively on the top two floors but with the loss of the short term car park many of the cars are now taken to a piece of waste ground between Airport Way and New Airport Way which is opposite the Ibis. The area isn't even fenced off.