Absolutely.
I'm completely unfamiliar with anything having to do with the Oral Torah or what the claims are in regards to it, but the idea sounds interesting.
Thank you kindly.
Understanding that the Oral Law refers to all kinds of laws, traditions, background stories, actual history, and apocryphal parables of questionable truth but seriously useful lessons (and it takes a serious scholar to know the difference, sometimes), one of the things to know is that the teachings have been around since Moses received them on Sinai.
Now, there is a great deal in the Talmud about how a person may achieve the World to Come, and things like this. But one of the more meaningful passages is in the Mishna (which was written down and redacted in about 200 CE by Rabbi Yehuda Hanasi). This tractate of Mishna is called Pirkei Avot, or usually translated as "Ethics of the Fathers."
In the first chapter, Mishna 3, it says:
3. Antignos of Socho received the tradition from Shimon the Righteous. He would say: Do not be as slaves, who serve their master for the sake of reward. Rather, be as slaves who serve their master not for the sake of reward. And the fear of Heaven should be upon you.
The way Jews understand this is to say that the reward refers to the World to Come. But that we should not focus on the reward. Instead, we should focus on serving the Master (God) out of love for the Master, not because of the reward we'll be given.
We will receive a reward, but that isn't the point. Loving God and man is the point.
What need is there to remind people to not focus on the reward of the World to Come, unless people already believed in it?
That is how we know.