In EPIC, Ody is portrayed as a traumatized man trying to get his comrades home, only to lose all of them and return to Ithaca alone and broken.
However, Ody in the myths isn't a hero, he's a lying, backstabbing, selfish man only interested in getting home to his wife (although he cheats on her with Calypso and circe. I'm not talking about that here.)
In the myths, Odysseus is a known liar, world renowned, and won the day during the Trojan war countless times through deceit and underhanded tactics.
Man cannot shut up about seeing his wife and kid again, and he's notoriously selfish. You've got a family waiting for you back home too, why should your king take priority? Hell, he tried to weasel his way out of his oath to Menelaus and Helen and avoid the war on a technicality in the first place.
The Trojan Was 10 years of brutal bloodshed, away from their loved ones, where mortals were the playthings of vengeful, petty gods. It was a agonizing siege with death on a scale they haven't ever seen in their lifetimes. It was a traumatizing crucible where kings often led their soldiers into the meat grinder, and the gods were in full display as monsters. Trust in either was never particularly high.
Again, 10 YEARS of this. Remember that like every 5 seconds that you try to think about the stress and sheer trauma they were under even on the return voyage. Which mind, is from what's supposed to be presented as an abnormal, mythical length of time for these men to be away on campaign in a land honestly not all that far from their homes by boat, even by bronze age standards.
After being the only army that made it out of Troy with no casualties at all in a decade, they suddenly lost 6 of their brothers in arms to a cyclops in a cave he lead them to. They were promised food on this island and only got more trauma for it, plus a fresh reminder that their captain and king was not an honorable warrior but a notorious trickster.
The crew don't trust the gods. They have no reason to after Troy, but Odysseus is hellbent on going to the wind god despite protests against it. Even assuming their captain is somehow being completely honest (a rarity), who's to say the gods are, and this isn't another one of their games where the pieces in play are their lives?
Odysseus went mad and delirious with no sleep for nine days as he jealously guarded the wind bag. He couldn't act normal around his men, his brothers in arms? And we can see Ithaca on the horizon, we're basically home free! 10 years away at Troy, there's no harm in taking a peek to see if that liar hoarded all the spoils of their venture to himself, like he did to Ajax, right? (There very much was harm in that.)
Lastly, for him starving and resorting to eating the cows for anyone saying "I'd be too afraid of the gods to do that", no you wouldn't. You would 100% eat those cows the moment you found a lovely little island full of them. You actually don't understand the delirium that starvation produces. No one's above that, at the very end of their rope.
I've also seen people say they can fish. No they can't. Bronze age fishing techniques weren't adapted for deep ocean fishing, and even if they somehow were, people don't grasp how vast the ocean is.
And given that every island they come across is infested with some new monster for them to fight and maybe die to, alongside the risk of Poseidon catching up if they wait too long securing supplies, it's not an ideal time for a notoriously slow method of procuring food for hundreds of men. Plus, it's just a headcanon, but one that makes too much sense is that Poseidon cursed them to not be able to partake of the ocean's bounty.
Moral of the story, you wouldn't trust Odysseus farther than you can throw him, and you'd be a deeply traumatized, emotionally unstable, paranoid mess who would not act rationally in the slightest if you somehow managed to survive the hell they did to that point. Let's be so for real. Those guys were fucked.