Question: Why does Rav Shmuel Wasner poskin that one can throw away newspapers that happen to have words of Torah mixed into their articles?
A. The Mishna Berura (154:5:24) quotes the Rambam (lav 65) who says that one who wastes or destroys holy writing transgresses “Don’t do this to Hashem your G-d.”
B. Rav Elyashiv poskins that if you are unsure if there is Torah thoughts in the newspaper then you don’t need to bury it but if you know there is then you should bury it and if you are strict then blessing will come to you.
C. Rav Shmuel Wasner poskins that if there are Torah thoughts within a story then it doesn’t have holiness.
Answer: Because they are not written to learn Torah with them therefore it doesn’t have any holiness (Dirshu footnote 10).