Something that is mixed with a drink – syllable

The Rabbi wrote in response to one of the questions: “I must note that I do not understand the words of the poskim who also speak about wafers and other things that have been dipped in a drink. Simply put, it seemed to me that the regulation only refers to vegetables, since if you put them in a drink, you become impure. Other foods prepared by a person become impure even without having a drink on them, and therefore I do not understand why one should wash their hands when dipped in a drink. But I have not found a source for my opinion, and therefore I would not rely on it in practice.”
In the Mishnah Berurah it is written that the reason for washing hands after touching something that has been dipped in a drink is not because the food has been koshered to become impure, but rather out of fear that it will touch the drink, and after all, hands defile from drinking in the first place… Therefore, the Shulchan writes that if the drink has been wiped dry, one does not need to wash hands. This is also how Rashi and Rashbam explain the Gemara in Pesachim Ketu, but I understand that the Rabbi’s opinion is different.
I, God forbid, do not intend to disagree with the rabbi, but merely ask the halachic question:
A) According to the Rabbi, does someone who is careful to observe the Nati (cleaning) of something that is wiped with a drink also need to wipe with food?
b) How does the Rabbi really explain the Gemara in Pesachim Ketu? I am copying it below.
Rabbi Yoranu, may his soul rest in peace.
 
 
“Rabbi Elazar said, Rav Oshaya said, everything that is dipped in a drink requires washing of the hands. Rav Papa said, “Hear me, I have a chasa, one must immerse it in a basin because it has become stale. Therefore, there is no need to immerse it and wash the hands. Why should I, it has not touched me? And it is not possible for you to have a mother who does not need to immerse it and it has become stale because of the smell of water, but why should I wash my hands? It is not possible for her to be immersed.”
Rashi:
“One must wash one’s hands – because the one who drinks has second hands, and whoever rejects the offering becomes impure from drinking, etc.:
“Didn’t he touch his hand in the drink?”