But the whole point of that episode is to show what happens when a Klingon crew breaks down. They aren't supposed to represent the majority of Klingon ships any more than the Equinox represents the majority of Starfleet ships.
The crew are demoralised and cowed, they've forgotten the taste of victory and they've lacked effective leadership. Likewise their captain, Martok, has also lost his edge, creating a toxic atmosphere on the ship. They are the opposite of an efficient, well-drilled Klingon crew.
During the episode Martok recovers his mojo and the ship gets a much-needed victory. That's the spark that leads to the recovery of their fortunes, and from then on, Martok and the Rotarran become a force to be feared.
I agree with the gist of your post. I did get that the crew was demoralized. But through their bumpy and trying journey together, the captain and crew found their winning ways again -- and lived happily after.

The misfit underdogs won.

I enjoyed the story.
But we still saw the primitiveness of the Klingons. There were fist fights among the crew of the Rotarran. But we have seen fisticuffs among the Klingons throughout the story arc. Physical violence seems to be the norm to settle disputes in Klingon society.
The crew drank blood wine on board the Rotarran even though the ship was in a combat zone. The ship could have encountered a Jem'Hadar ship at any time. That was not a time to be drunk. They should have drank all they wanted while at DS9 before their mission, or waited till the mission was over.
The command and control system seemed a bit wacky too. The Rotarran had a mission, to search for a missing Klingon ship. But the crew had another agenda. They wanted a combat victory regardless of the mission. Martok gave reasonable explanations why they must not attack any enemy ship that crossed their path. But the crew couldn't be persuaded by reason.
And Martok paid the price by not giving in to the crew's desire, when Worf challenged his authority with physical combat (while Jem'Hadar ships were in their midst). It seemed crazy. But it was perfectly fine and legal under Klingon rules.
The crew wanted to spill enemy blood for a victory. Seems kind of primitive. Why couldn't the crew have been satisfied with accomplishing the mission even it meant no actual destruction of an enemy ship? A mission accomplished should be a morale booster. I guess they needed to satisfy a basic Klingon urge.
As you know, there was a happy ending. The crew and captain accomplished the mission and got what they wanted and needed.
Like I said, I enjoyed watching the episode. But the TNG/DS9 Klingons came across as dumber and more primitive than TOS Klingons.