You are assuming that WW3 would be total war. I have my doubts. Take your example of China verse Japan, US, Taiwan and, probably South Korea (and, almost certainly, India). Sure, it MIGHT go nuclear…but if so, China would be completely and utterly destroyed. Full stop. China has approximately 250 nuclear weapons, and that’s certainly a lot, but at least some percentage of those would be intercepted during the early boost phase. On the other side, the US has thousands of the things. While the US et al would almost certainly be crippled, China would cease to exist in this scenario. So, given that, why might they launch nukes? I don’t see any reason they would, unless the CCP thought it was going down for good.
That said, a conventional war where China attempts a forced entry invasion of Taiwan is…well, not likely, but it’s plausible. Hell, the CCP has said they WILL invade by 2020 (with some weasel words if they don’t pull it off), and the PLA and the various alphabet soup PL variants have and are training for just such an event. That could happen. And if it did, it’s plausible (hell, highly likely) the US would join in. And that would almost certainly bring Japan in, especially with their expanded constitution and more forceful stance on China. South Korea…well, they might also come in (or be forced in if the North decides this is the time). India…that’s more speculative, but the US is in the process of expanding mutual defense treaties with India, and there has been talk of something like NATO but in the Pacific, and India is definitely part of those talks. Hell, Vietnam is trying to get in on an alliance with the US (ironic as that seems), and there are others in the region on the fence. If several of those came into play it would be a ‘world war’, IMHO…but I don’t think it would necessarily go nuclear (my own weasel words come out).
So, how might it play out? My WAG is China might think it either has no choice but to invade (if Taiwan actually breaks with the One China policy and decides independence is what they want), or might think (see Orange Haired Idiot In Charge of Mixed Signals) that the US wouldn’t involve ourselves and this is their chance to bring Taiwan back into the fold. This would spark a fairly substantial conventional war in the region. If India and Vietnam come in (low probability, but possible) then it would be a ground war as well as a sea/air and seaborne invasion one. It could last a year or two, possibly a lot more depending on how it would play out.
If WW3 is just a nuclear exchange then, sure, it’s going to be over quickly…and WW4 will probably be fought with rocks (or Mad Max style). But it doesn’t have to be that way, and I’d say that it probably won’t unless someone miscalculates or perhaps if the CCP (or Putin’s Russia) thinks it is really going down for good (or that idiot in North Korea decides to push the button because what the hell? Or…well, Trump). I can think of several WW3 scenarios with either Russia or China that don’t necessary mean nukes.