Thought I would share my recent experience of having a new windscreen fitted. This was in the Netherlands, through a company called Carglass.
Their first attempt had similarly not fitting top corners as seen on Phils pictures above. At first they tried to brush me off with various excuses such as poorly fitting aftermarket screens and OEM no longer being available. But after I filed a complaint at their head office, their attitude changed. They tried again, and this time the result was pretty good. The guys that worked on it said that they used tension straps to prevent the screen from sagging down, and they waited longer for the glue to dry. And just to be clear: this nice result was still with an aftermarket screen.
So just a heads up if you are in a similar situation: better make sure that the guy that will do the fitting knows he needs to use tension straps and give the glue extra time to dry.