Hazal

If something has a halakhic implication, it means it is binding - even if it is not true, but the Sages decided to rule according to halakhic law. My question is not about the halakhic meaning, but about whether the saying can be seen as something with a relatively high probability of being true because it is influenced by the tradition from Mount Sinai, or not and it simply expresses the opinions/feelings/musings of the one who says it.

Each thing is for its own sake. In general, there is no reason to assume that a mere rumor is a tradition from Sinai.