For the record easyJets on time record is good at the moment and the stats on the easyJet website are correct - thats a fact.
Lifestyle at the Orange Airline has also picked up with 10 to 12 days off per month not uncommon now.
Can 20 minutes turns be done in a 737? Yes, it depends on the ground organisation though. Easyjet often do it in Scotland, and in Belfast where the ground set up lends itself to our needs, 16 or 17 minute turns are regularly achieved.
About the brake cooling it depends on a lot of factors one of the most critical being whether or not reverse thrust is used during the landing. I haven't got the books in front of me but ballpark with Reverse Thrust and Autobrake you need about 16 minutes for cooling; without Reverse Thrust and with Autobrake it goes up to about 40 to 45 mins. As I said these are ball park figures; average landing weights etc.