I think ���apply��� is better. ���import��� sounds too specific to me. I don���t want to care where the entries come from and ���import��� implies that there may be something else going on (also: if there���s an import where���s the export?).
But we support to open and import changes from any image (not only owner).
Anyway we need to choose most intuitive name because undo/redo are always raise questions (also after many times I use it). "apply" could be good too.