I've downloaded the paper, although I'm not sure when I'll get to it as I've got more pleasurable endeavors lined up.
Alycia LaGuardia-LoBianco and Paul Bloomfeld appear to be the authors, not Pigliucci.
Just spouting off here, but this seems to me to be an example of people with completely different mindsets talking past each other. Committed Stoics seem to be wired to try to live rationally, which to them means to set aside feelings in making choices and avoidances. Whereas committed Epicureans realize that feelings underlie rationality: ignoring them is like swimming upstream with only one arm and one leg.