It's nothing like that.It's kind of like the local discount closeout store that sells a "factory reconditioned" appliance (e.g. vacuum cleaner), and another store across the street sells the exact same model of vacuum cleaner that is brand new for the exact same price. Which one is the average consumer going to purchase if they are aware of both items being for sale at the same price?
It's like two aluminum cans, but one is made with recycled aluminum, the other one isn't. Or, like two recycling bins, one made from recycled plastic, the other one isn't.
Ultimately, the only difference here is the feed product for the refining/cracking operation. The end product is still a pure base oil with which a fully formulated engine oil is blended.