That is not how it works. Again link. Unless you can guarantee that winning the tip ensures the extra poss every time it may offer that adv. However, if you can't show that is leads to an extra poss every time it involves chance and more factors are in play. This seems like a theory. For example, we win the tip in the chance that it can lead to an extra poss.
I have a very hard time believing that winning the tip leads to a guaranteed extra poss. Therefore, it wouldn't provide any statistically significant adv.
I believe there are many other ways to guarantee more poss leading to a bigger statistical adv then winning the tip.