For Epicureans, eudaimonia is a life pleasantly lived. A life pleasantly lived means one in which natural pleasures (mental and physical) outweigh pain and suffering (mental and physical).
I found Pacatus' post in full very good, but I would caution against the formulation "natural pleasures ... outweigh...) That is not the way Epicurus formulated it - he referenced "Pleasure" as the goal without qualification - so this formulation might well lead off in an unproductive direction.
I would say the natural and necessary classifications help us predict the amount of pain that will be required to attain them, but to imply that there is a flat rule that everyone should seek only "natural" pleasures would be going too far.
That's the real reason we debate this issue so much - because people tend to infer "natural and necessary ONLY" from the discussion and I would say that is a major mistake.
We need to continue to talk about how to avoid an overbroad formulation here and what issues arise with this. What exactly are "unnatural" pleasures? Should we seek none of them at all to any degree? If there is such a list then does that list constitute a Platonicly universal list of "Thou shalt nots" like the Ten Commandments?
Please do not take this Pacatus as critical of you personally -- and if you would like to in fact defend that position, please do, as that would help the discussion move forward too.
But any time we leave open the implication that the ideal Epicurean life would be in a cave with bread and water then we create major theoretical problems.