We show that the long known puzzling branching ratios of open-charm decays in e + e − annihilation can be reasonably described with a simple form factor, which strongly suppresses open channels far above threshold. Application to the e + e − → J/ψ ππ data on the X(4260) enhancement recently reported by the BABAR Collaboration [1] allows a good fit with a simple nonresonant cusp structure around the D * s D * s threshold. Moreover, we argue that a closer look at the data reveals an oscillatory pattern, which we model as an interference effect between a fast -OZI-allowed -and a slow -OZI-forbidden -J/ψ f 0 (980) mode. Other candidates for similar nonresonant enhancements are discussed.