As the title says, what happens if Pershing's 1916-17 Pancho Villa Expedition succeeds in capturing or killing Villa?
If he is killed by the invadeding Gringos he is more of a martyr.
Some level of martyr. How important depends on the circumstances. He did have powerful enimies, who could have spun his death as a benefit to Mexico. 'See Villia brought on the Yanquis. We persuaded them to depart after he died.'