If that's the conclusion you reached from the Airbus report, I must question your reading comprehension.
tdracer, a picture tells a thousand words.
Have a look at the graph on page 9. That is the "10 year moving average accident rate per million flights". Look at the yellow line, representing 4th generation jet airliner types. You can see that line has been gradually increasing from its lowest point in 2005. Ditto the graph on page 10.
And, all the LOC-I graphs show an increase from 2005 (albeit with a slight decrease in recent years).