CTRebbe: You wrote – ” Strange that when he is mentioning that “Yisroel are holy people” he does not say anything about eating shmura from the time of harvest.” However, the Shaarei Teshuva in Siman 453 states outright YEISH NOHAGIN SHEKOL HAMATZA SHEHOICHEL B’PESACH TIHIYEH MEYCHITIM SHEHMURIM MISHAS KETZIRAH.
http://www.hebrewbooks.org/pdfpager.aspx?req=14169&st=&pgnum=94