Not at all.
What we'll get is not one big World War of Axis vs. Allies, but everyone at war with some kind of small regional pissing contest or insurgency.
Sure, most of the world will be in some form of conflict, but it won't be a "World War" in the same sense of a 20-on-20 prolonged conflict with well-defined nation-states on each side. Not that this opinion survey can really capture that.
You're correct, however, keep in mind that authoritarians have fragile egos and are often focused locally, often on how to further subjugate their populations and garner favor. That usually means conflicts like insurgency or cross-border attacks like Russia into Ukraine (x2), Russia into Georgia, US into Mexico/Canada, India and Pakistan fighting over Cashmere, PRC and Taiwan, Serbia and Kosovo, Kenya/Somalia/Somalil and, Uganda and eastern DRC, etc. etc.
Boomer pissing contest fantasies of China and the US duking it out in the Pacific are foolish as neither wants to risk direct conflict with no tangible gains expected. It's a guarantee of either outright loss or maaaaybe a Pyrrhic victory of you already control your media. No landing party flotilla will land in Los Angeles or Hong Kong. The US only stands to lose.