On the slippery slope

Good evening.
If I understand things correctly, you emphasize over and over again that a posk should not withdraw his opinion due to extra-halakhic arguments, such as the "slippery slope," when you call this phenomenon "the slippery slope of the slippery slope." But we find dozens of extra-halakhic arguments in the Shas. After all, what is the idea of ​​"deviating from the Torah" if not this. "This thing should not be said before the people of the land" (even though it is controversial). "Sages have strengthened their words more than the parable of the Torah," and many more. How do your words fit in with the fact that there is a prominent perception in the Talmud and the Rishonim of extra-halakhic arguments?