My pure Mysore is very close wearing and has very little sillage, but I don't think that necessarily means you have an inauthentic oil. I would imagine that various ways of distillation, different batches, and the like could contribute to the different experiences and performances. Also, mine is just from my local herbal store (and was only about $20 for the small vial), so I would imagine it's actually cut pretty thin. They had another version that was 3-4 times as much, so maybe you have a couple various concentrations?
*runs off to douse self in mysore sandalwood*