I would think there would have to be, but I doubt there's any literature on it. Despite what the oral boards examiners would have you believe, reflux and aspiration is a rare event (something like 1:1000 anesthetics; warner, warner, and weber did an interesting retrospective in the 90s that's worth a read), so it's hard to study.
Because the LMA tip sits in the introitus (love that word) of the esophagus, it may provide some protection (although it's equally plausible that such a position could stimulate reflux in a "light" patient).
I'm a ProSeal man, and once or twice I've seen refluxate creeping up through the esophageal port on that type of LMA. Frightening, certainly, but that channel seemed to be providing a diversion for the gastric contents which, if I had only been using a mask, would've instead gone into the lungs.