LUL – Also, if you ever go through Rishonim and Achronim on a Sugyah, it is normal that the Shittah brings others to support. Then, when looking at the source, it doesn’t support that Shittah, and others bring the source for the other shittah. That is why you always need to look at the source inside.
Personally, I trust the Beis Yosef himself who quotes the Rosh and Rashba that I brought earlier over the MB “interpretation”.
Finally, I did not see the MB bring any textual proof from the SA to his shittah, he rather brings the Rayah directly from the Gemorah (as pointed out earlier, similar to the Sefer HaEshkol).