Ah yes, the uniquely Western trait of finding solutions to problems, combined with the deep bourgeois values of Archaic Greece.

Jokes aside, Odysseus as a character and the Odyssey are capable of limitless interpretations, which is undoubtedly one of the reasons for its enduring success. In the Aeneid, for example, Odysseus is the craft and sinister dissembler and destroyer of Troy, while in Euripedes' Cyclops he is the upholder of moral standards against sophistic subversion (the Cyclops Polyphemos as the exemplar for those who stand outside of social norms is himself subject to endless variations, Theocritus' eleventh Idyll being one of the more surprising). So I can't really say that there is a wrong interpretation of Odysseus, although that being said this strikes me of being particularly indicative of the sort of way early twentieth century philosophers and sociologists tended to (mis)use the classical world.

Anyway, the variant of Odysseus I a most familiar with is as a sort of wanderer archetype representing man's eternal and somewhat self-destructive desire to see beyond, particularly in the philosophical sense. I get this largely from second sophistic discourse, particularly Porphyry's "Cave of the Muses". But if you want a good idea of how Odysseus functioned within the society which created him, I believe Moses Finley's World of Odysseus is still well regarded, although dated in many ways, and is a quick and enjoyable read. Essentially, he argues that Odysseus' wanderings represent the experience of the Greeks in colonization, where they meet peoples that can be helpful or harmful but are always alien, and the outside world is filled with unknown and fatal dangers. I suspect that interpreting Odysseus' trickster archetype characteristics as bourgeois values is probably not warranted if you want to stay within Archaic society.

Odysseus to a Greek audience would be viewed in some of the same ways as other heroes such as Diomedes and Achilles. In the Iliad, characteristics the Greeks would value are displayed by Odysseus, he is a brave warrior in book 10 when he and Diomedes offer to and peform a night raid on the Trojan's forward camp and managing to capture a Trojan, interrogate him for information , find the Thracian contingent of the Trojan forces, kill Rhesus and steal some of his famed stallions. Odysseus is also referred to multiple times with the epithet of "quick-thinking", also an aspect respected from a Greek POV. In book 3 when Priam and Helen are talking of the Greek heroes , Priam mentions Odysseus fine rhetoric abilities "but when he liberated that great voice from his chest and poured out words like the snows of winter, there was no man who could compete with him" an aspect the Greek audience would also respect. Overall, in Greek eyes Odysseus is and would have been a Culture hero in the same way that Achilles or Diomedes were, even if his actions were not always particularly adhering to the heroic code.

One thing I see missing in this, is that the "Original Audience" would have been listening to some bard. In the Iliad, it was at least being told by bards for over 500 years before Homer put it to pen (quill). So all we have left is the version that arrived to Homer, and even that could have been altered too. We do not know when this story started, but one must remember this was likely a Religious Story (Myth) that had a original concept of setting a guide to the people. But due to the centuries of retelling, with each Bard/Troubadour altering it to fit their use, we can only guess. The fact that Homer has written it in such a way that it gives so many uses, and lasted so long, is a tribute to the man and his writing skills. How many places were added, monsters and other encounters were developed for the story, we may never know. So your question would not be the Original Greeks, as we would have no idea without the original story. We can only look at what the Greeks of Homer's time would have looked at it.

In Trickster Makes This World Lewis Hyde argues that Odysseus is a trickster hero, those are as Eastern (and Southern) as they are Western.

Nor did the Homeric era Greeks see the "East" as decadent. Troy was east after all as were some pretty scary successful empires.