After all the delivery is different.
With traditional advertising you're being sold a fantasy. The advertisment is usually produced so you're self-inserting yourself into the production. So when you're seeing the fit and good looking cowboy smoking a Marlboro... You subconsciously think: that's who I wanna be, and consequently may be more likely to buy it.
Influencer marketing is however inherently contextualized to the para social relationship between the viewer and the creator. The people that buy the product do so because "their" creator told them about it.
At least that's been the feeling I've got on every sponsorship pitching to date. It's aimed at people that want to get closer to the Creator. At least in their head.