So is most truffle oil. Canned reindeer meat in the Nordic countries can be up to 40% pork. Budget-brand soy sauce might actually be "soy sauce powder" mixed with water, as opposed to something straightforwardly brewed. If you travel the developing world, you may find that what is sold as chocolate actually has no cacao in it. Lots and lots of disappointments out there in the food world. I find reading labels careful…
There's no such thing as a non-synthetic truffle oil. It is not made from truffles what so ever. https://en.wikipedia.org/wiki/Truffle_oil
I've done this with Oregon white truffles (tuber oregonense) that I harvested with the help of my dog. Kept the butter frozen for over a year, and it still had the truffle aroma when I pulled it out of the freezer.
I actually think the infusion method adds a lot more flavor/aroma than adding pieces of truffle, but the pieces are clear evidence that what you bought actually came in contact with real truffles--it's pretty much just marketing.