I imagined some of it going that anyway, but the highlights of the article make me realise that this does more for the films - namely III, IV and and VI - than it simply does TOS. Because now, in this current version of canon, perhaps the near-entirety of the senior staff that we seated at the table when the talk of making peace after the Praxis incident is thinking back to this war. A war that would have been the early years of each of their careers. When Kirk snaps, "Don't believe them! Don't trust them!", the backdrop of that isn't simply the death of his son and occasional encounters on the Enterprise, but days when the promises of peace wound up with Admirals either dead or kidnapped. We can see why those men and women were scarred so deeply that they would be more comfortable keeping the wound open.
On the flipside, it was always a bit odd that the Klingons tried to push the 'Genesis is a superweapon meant to wipe us out!' argument. In the original context it plays out as a laughably bad lie, obvious to anyone who knows the Federation's nature, simply intended to try and discredit them. Depending on what happens - though I'm still wary of getting the literal dictator's help in this - it may now be something that isn't without precedent. That while the Federation may espouse peace and would never wield weapons of mass destruction, they made an exception for the Klingons, dropping the in-universe equivalent of the A-bomb in terms of ending conflict at an insanely high ethical cost. Seeing Genesis as a potential successor to that, whatever it might prove to be, would make quite a degree more sense, while still tying back to the whole theme of the cost one is willing to pay in the defense of one's ideals. We've grappled with the efficacy of the bombing of Nagasaki and Hiroshima for over seventy years now, so it would be possible to have an equivalent occur without being a clear cut 'good' thing, whatever the result.