https://www.merriam-webster.com/dictionary/tradition
There is nothing about "generations" in the first definition you listed.
Even preaching another’s message, is not *tradition*. Passing on a message is not *tradition* either.
Certainly the early practices and teachings of the Church were past down in the form of oral traditions. Almost everything of what was eventually written in the Gospels was first passed on as oral tradition.
Then it should NOT suprise anyone that the first seven Catholic churches mentioned by the ANGEL in Revelation were so screwed up in their theology!