Putting my views into context, ten years ago, after a bad experience with cabin crew in Royal Laurel (mileage upgrade), I stopped flying with EVA having flown with them 23 times LHR-BKK-LHR. With both Air France and Cathay Pacific wanting ridiculous fares for this August I swallowed my pride and flew with them again.
Looking at the stats for the last 90 days or so, it does seem that this is a somewhat simplistic analysis by flightstats.com Many of the flights, if not most, were delayed at that awful place Heathrow. To what extent that was the fault of EVA we don't know but I suspect that Heathrow had a lot to do with it. The other interesting feature is a comparison between the scheduled time and the actual average flight time. It's very easy to pad the scheduled time and many airlines do so in a dishonest fashion. British Airways, on internal flights, comes to mind. All EVA had to do was to add 30 minutes to the scheduled time and the problem goes away. They are being more honest than many airlines.