So why doesn't Easyjet do connections after 12 years of operating? They say that Southwest Airlines are the model, but Southwest have done connections and through flights for years and years.
Does Easyjet not want to carry passengers from outside London to ports like Athens? Tell them to go fly BA?
It would mean that Easy would back themselves to transfer passengers and bags at airports like Luton. There will be times when it will go wrong for reasons out of Easy's control, and sometimes it will happen where it was a company error, but surely by now Easy is big enough to cope with days when there are problems.