Benephraim
“There are only 2 possibilities as you must concur.”
I do not concur at all.
I am not even sure where you got this idea from.
There is a third possibility it is like bread and sometimes requires washing and sometimes doesn’t there are a whole category of foods that all into this group. See Avira’s inital post
Or Search for articles on “PAS HABAH B’KISNIN” The OU, Start K have nive articles. Halichipedia has an excellent very detailed page
Avira
that is interesting , I like it shkoyach