The aim of the Greeks is described in Al haNissim: ‘l’haskicham torasecha ul’ha’aviram mei’chukei retzonecha’, to cause the Torah to be forgotten and to cause us to violate the chukim of G-d’s will. The Shem m’Shmuel and others are medayek that it was not Torah in toto that the Greeks objected to, but specifically chukim. The Greeks were philosophers, logicians, the great minds of the ancient world. They respected statutes of the Torah they saw a rational and necessary to form an ethical and lawful society. What they could not accept was the Jewish people’s stubborn adherence to laws which are unfathomable. What is the purpose of law which is not a handmaiden to reason, morality, or social structure? The lesson of chok is that Torah law is obeyed because it is G-d's will, and will/desire is irreducible to reason and logic.
Ironically, we tend to think of mysterious things as shrouded in darkness, and the process of understanding as "shedding light" on a problem. Chanukah is all about light which celebrates the mystery of the incomprehensible.
The Shem m'Shmuel's vort sets up a dichotomy between ratzon/will and seichel/reason, but that is perhaps a bit of an oversimplification - maybe more later.