Let me explain. There seems to be a consensus among the poets and professors that Shakespeare wrote some great English. The occasional high school student might gripe about not understanding it and wondering why everybody else thinks it's great, but the practitioners of the English language agree to it's higher level use of language. It's not some shody paper a high schooler wrote the Sunday before, for example.
Does the Qur'an carry the same effect to Arabs?
This will depend largely upon whom you ask. A pious Muslim is likely to tell you that it is the most beautiful work in the most beautiful language ever devised. An ex-Muslim or Arabic speaking non Muslim will often point to Arabic poets whose works are deemed superior in prose or poetry or Merit. (Al Mutanabbi springs to mind) So there is a rose tinted veil of ideology at times strewn over this topic). One could argue that the revered nature of the Koran has influenced Arabic and what is considered elevated language.
I remember a discussion on r/islam regarding the place of Arabic in all of this. There was a Lets-read-the-Koran-together initiative a few years back and many people were resorting to using a study Koran that had different interpretations and commentary in it. Some Sheiks were vehemently opposed to this and insisted that the Koran must be read in Arabic. Many Muslims believe that the nature of Arabic itself makes it untranslatable and that to truly read the Koran you must read it in Arabic. If this were true though, that Arabic was untranslatable, then no non-native speaker could ever learn it. Because in order to learn the language one would first have to identify words and concepts in ones own language and find their analogues in Arabic.
This is a continuing topic of discussion for Muslims as a whole. I encourage you to ask this question in a sub like r/pakistan , r/arabs, r/shia , r/islam and elsewhere. I personally find this topic fascinating and have explored it (via discussion) at some length.