That's correct, with China politely abstaining from such a move to expel the DPRK.
There are not a lot of realistic-ish "ends" to North Korea that alternate history/military thriller writers can come up with, North Korea either reunites with the South (never happening ITTL after the mass killings, mass rapes, and child abductions, now ITTL South Koreans don't even view North Koreans as humans, much less as fellow Koreans), or it falls under American/UN/South Korean occupation (China will never allow US military troops on its border, and South Korea no longer cares about reunification), or the most likely, China gets fed up with everything, invades North Korea before the Americans/South can invade it, and turns it into its own full-blown puppet state, this post-Kim Dynasty North Korea remains a dictatorship, but it is a less insane and more pragmatic dictatorship.
Or, you could have a mixture of
both of the latter ones, like this map below, where China does invades North Korea, but only after the ROK and US armies have already pushed a lot into its territory, so China tries to get their remaining share before ROK and US troops reach their border, meanwhile, Pyongyang (that is presumably a wasteland looking even worse than the 1951-1952 US bombings of the city, assuming that chemical/biological/nuclear weapons were used in their 1945 Berlin-esque last stand) falls under UN administration, in an anti-climactic and ironic end:
A scenario that I do not see being used a lot in Second Korean War scenarios, is of North Korea saying "fuck it" and committing suicide by attacking China with its biological/chemical/nuclear weapons, as a final "fuck you" before it inevitably falls to the PLA, since in their view, China has betrayed North Korea by "siding with the Americans" and treacherous Southerners, so they wish to go out in a blaze of glory by attacking their northern traitor.
Although in the Death of Russia, once PLA troops invaded North Korea, there was very few fighting between PLA and KPA troops, the majority of starving KPA troops simply surrendered or defected, but since ITTL, Juche is all but shown as if it is an Islamic extremist-esque religious belief in its own right in this alt-War on Terror, Kim could try to get his most fanatical loyalists to attack China like how he got suicide bombers to blow themselves up in the name of Kim Il-Sung in the World Cup stadium, in TDOR, the Fascists in Petrograd only groomed and trusted the most fanatically devout racists to nuke the non-Russian areas of what remained of the Russian state.
The reports of KPA soldiers committing suicide also makes me fear that Pyongyang might pull a 1945 Berlin, Okinawa suicide cliffs, or Jonestown, but with mass suicides on an even bigger scale, if North Korea is faced with imminent annihilation by ROK and US troops, the former of which are bloodthirsty for revenge and had become just as brutal as the invading KPA troops, "if they seize us they're going to enslave us and torture our children, so let's go out in a blaze of glory" is the logic here, while Kim is getting more and more mentally unhinged in his Führerbunker.
In TDOR, once it was invaded by China, the Democratic People's Republic of Korea still retained its previous name, did not lose any territory (minus no unification), the Worker's Party of Korea was still in complete control of the state and society, and it was now being propped up by their long-term ally and self-proclaimed Socialist and anti-Western country, it was still North Korea but just without the Kims, so it was much easier for the North Korean establishment and society to accept this new reality, but being faced with humiliating defeat by the Americans and South Koreans isn't.