Okay, I'll take this as: No, you don't have non-NT evidence for your definition of "rabbi".
Thank you, nice chatting.
It's similar to how the term priest has different definitions that range from priesthood of all believers to an elder.
Was Jesus a rabbi? | GotQuestions.org
During the first century AD, the word rabbi was used in a more informal sense than today. In Jesus’ day, the title “Rabbi” merely signified that a person had a reputation as a wise teacher or sage. Gamaliel the Elder, who taught Saul of Tarsus and who is mentioned in Acts 5:34–40, is referred to in the Mishna as a rabbi: “Since Rabban [Rabbi] Gamaliel the Elder died, there has been no more reverence for the law, and purity and piety died out at the same time” (Sotah15:18). We learn from John’s gospel that John the Baptist was also addressed by this title: “They came to John and said to him, ‘Rabbi, that man who was with you on the other side of the Jordan—the one you testified about—look, he is baptizing, and everyone is going to him’” (John 3:26).
So it seems undeniable that Jesus was considered a wise teacher and thus could be properly categorized as a rabbi, as the term was used in Jesus’ time. It wasn’t until after the destruction of the temple in AD 70 that the title of “Rabbi” took on a more formal meaning for those who were ordained in the rabbinic movement. As time went on, the definition of rabbi continued to evolve. So, yes, Jesus was a rabbi, as defined in the first century, but today He would not hold the same title, as defined in modern-day Judaism.