it's an all or nothing...
Yes -- and they are somehow convinced to go for the "All"
Again for anyone who has time on their hands, I recommend Lucian's HERMOTIMUS for background on that aspect., with an Epicurean or Epicurean-sympathizer arguing against a Stoic on some of these points.
EDIT: I know I am droning on about "Hermotimus" but for anyone who has not read it i think you are in for a big and most pleasant surprise -- it is very witty, easy to read, and covers a lot of important material from an Epicurean-Friendly perspective, in dialog form, almost as if we had our own variation of a Platonic presentation - with all of the elegance combined with wisdom as opposed to frequent deceit.