All very interesting speculation.
Fact is easyJet often achieve their short turn rounds AND they do security checks, AND an external check is completed, AND any defects get entered into the Tech Log and they are handled iaw the MEL which as any commercial pilot with 10 minutes basic training knows, can never be less restrictive than the Master MEL.
As for Scotties laymans view to easyjet causing Go Arounds at EDI due to missing the turn off - can't say I've noticed that myself but if someone does miss the turn off, maybe its something to do with having high pax loads.