How to interpret Shas is very much subject to mesorah; we know that Rishonim usually (not always) learn a sugya the same way their rebbeim did. There is very much an oral tradition, after Ravina/Rav Ashi, and it continues to this day, and I can guarantee you that R’ Avigdor Miller could back up his approach with a mehalach in the relevant sugyos on Shas, as could those who disagree with him. But to dismiss it because there’s no explicit mekor in Shas would be ridiculous.
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