Can it be that the waves actually interact with each other not directly but with the vibration caused on the bone structure of our skull? Not trying to be sarcastic here, I  actually think that this illusion isn't an illusion in the first place but the wobble is caused by the vibration of sound in your skull..
If you were using bone conduction headphones, I would say yes. Otherwise, most headphones aren't quite that powerful.
Grafmec X