Rosemary oil does not have a constant composition. In addition, at least about 30 components have been identified therein. The rearrangement of α-pinene requires acid catalysis. Without knowing the composition of a specific oil, it is difficult to predict anything. Essential oils are usually quite thermally stable. Some of their components can be distilled in the presence of air under normal pressure. I would rather expect oxidation products of the less stable components of the essential oil.
But without good analytical capabilities, it's a waste of time.