It's an opinion article, those always have takes that are much different then the mainstream. For better (like the one here) or for worse (pretty much all of NYTs).
To be fair, governments do frequently limit civil liberties in times of crisis. Our own Patriot Act probably went too far in that direction. President Abraham Lincoln suspended habeas corpus for Southern sympathizers during the American Civil War, but he never canceled elections. Neither did Winston Churchill, to whom Zelensky is sometimes compared. Churchill actually lost the 1945 British election and had to watch Clement Attlee take the final victory lap for World War II.
I do love the "Lincoln suspended habeas corpus" line as a kind-of end run around "violating civil liberties is always bad" arguments. I occasionally see folks go the extra mile and point to the Sand Creek massacre as necessary and good. But the take away from this shit never seems to be "There is something wholly anti-democratic and nefarious about Western politics."
Ukraine is an aberration. Just like Ethiopia and India and Italy and El Salvador and the Philippines and Israel are aberrations. There's nothing wrong with the system, these foreigners (and occasionally those damned MAGA Americans) are just doing democracy wrong. The wittling away of political parties, the canceling of elections, and the reversion to military rule isn't a feature, we assure you. It is always a bug that we just need to work out. Or not, because this is an op-ed in an online tabloid rather than any kind of public policy.
If they banned rightist parties, it could still ultimately be part of a larger project of rightist consolidation. Ultimately the issue is not a deontological one with banning parties or just banning leftwards, but with who is left to wield power.
I disagree with some of the article, since it's ultimately arguing from a very "classical liberal" viewpoint, but it's at least good to see these problems actually be acknowledged rather than denied, ignored, or glossed over.
This is further evidence that when libs say "democracy" they simply means "good country that we like".
Nothing has materially changed about Ukraine or its method of government between the last round of "Slava UK*ani"s and now, except it's become politically and militarily inconvenient to support.