You're confusing potential for impact and impact. Center offers the best potential for impact because it allows you to more easily distribute to both of your linemates and puts you in the more dangerous areas of the ice more often. But impact is impact, and impact from a center is not any more valuable than equivalent impact from a winger. Especially these days when positions are so fluid. Marner takes on winger, center, and even defenseman responsibilities in different zones and situations. This phenomenon is also self fulfilling, as the best kids tend to want to be center because the greats they grew up with were centers.
Without even getting into the issues with relying on asking AI for something like this - especially with how bad positional data is - that wouldn't prove anything. You keep trying to argue that centers, on average, get slightly bigger contracts, but whether or not that's true, that is an entirely different argument than whether centers are getting paid more relative to their impact level because they are centers. Centers are, on average, slightly better players, and get compensated for that, but there is no evidence that centers get compensated any differently relative to their impact level, and no reason to think that a winger that impacts the game as much as those centers wouldn't be paid appropriately. They historically have.