Health, as I already told you, the words “equally preferred” mean chaviv not chaviv or shalem. Also, if you look at the lashon of the Halachopedia, it is impossible to translate it your way.
In any event, that was a side point. The main point was that the Mishna Brura poskens according to the opinion in the Rishonim that we go by chaviv not by Haetz.
As I wrote before: “You have spent a lot of time trying to tell me that I am wrong, and yet you have not brought a single proof that I am wrong, and if fact the only source that you brought (which is not even a source) agrees with me.”