Errors in Ego Depletion Study

A new study, due to be published next month in Perspectives on Psychological Sciences, might debunk the famously cited ego depletion study, according to Slate

In the study, the "ego depletion" theory claims that humans have a limited number of willpower that decreases with overuse. The paper, which was published in 1998,  observed students' ability to solve a puzzle after eating a bowl of cookies or radishes. Scientists found that the students who ate cookies worked on their given puzzles longer than those who ate radishes. The famous study has been cited more than 3,000 times. 

However, when scientists tried recreating the study,  there were little to no effect on the original methods used to create the ego depletion theory. For the most recent study, scientists reproduced the original experiment's main effect on a massive scale. 

Comprising more than 2,000 subjects tested at two-dozen different labs on several continents, the study found exactly nothing.
— Slate

If there really is no effect when it come to ego depletion, how will that change what we know of some behavioral economics studies that relies on the original study's experiments?