Also I imagine in some circumstances (if the object is lodged in pretty tightly) the strength of the esophagus to withstand pressure would probably play a role.

Also I imagine in some circumstances (if the object is lodged in pretty tightly) the strength of the esophagus to withstand pressure would probably play a role. I could imagine if it's far enough down the esophagus, if the pressure required to pull it up is greater than the strength of the walls of the esophagus, then all you'll end up doing is collapsing the esophagus above the object that you're trying to dislodge.