A simpler explanation: That Chinese characters number in the 10,000s, while the characters in the Western alphabet number 26. This means that the latter is much easier than to former to turn into a profitable business, because the early movable types themselves are costly in time and capital to make, and easy to break or so I'd imagine. With 10,000 replicas of 26 characters you can print 24/7. However, with 26 replicas of 10,000 characters, your business will be halted every type the movable type of characters you need are inevitably broken and wait for an artisan to make new ones.
I think your postulations on the Greeks are interesting. I do have to wonder at the level of accessibility of the Greek thinkers into the Middle Ages and into the Enlightenment - from my understanding Archimedes, for example, a very late Greek thinker, was only rediscovered as a product of translations from the Arabic world - a product I suspect of the Church, which was itself an institution of incomparable power since before the fall of Rome. If this is correct that's a thousand-year period without the Classical thinkers, and yet Europe was still, in my opinion (and many others), highly functional.
I believe Toynbee came up with the Goldilocks hypothesis for civilization; not too challenging, but not too easy. If you'll allow me, I would posit this exists at the intersection and overlap of cultures as well. My history is fast and loose, you'll have to forgive me: but the Axial age coincides with lots of warring in just about every major old-world society - thus "we" derived challenge - readily modulated by various developments, resource limitations, and etc... It's my impression that "Europe" was particularly violent, thus a constancy of the "challenge" was thematic of the West. I see this as something that created a persistent arms race which escalated with the passage of time. I would suggest this has little to do with empiricism and more to do with the necessity of maintaining the balance of power - right up to MAD.
Finally, with the Age of Discovery, and the discovery of the New World with it, a vast and untapped land which was available with little contest thanks to contagious disease, virgin soil, and a people who may have even been susceptible beyond that... The tradition was allowed continuity, and all of the philosophy active in that era was allowed to persist uncontested a la your reward system, which may have actually been copped from the Arabic market traditions albeit in a seriously perverted fashion.
I think it's a very open question if the warring, violent nature of those Western cultures actually led to overall faster/better technological advancement than if they'd interacted with the other cultures they came across in a peaceful, trade-oriented way.
I expect you're speaking in terms of qualitative violence?
A great example is the Five Dynasties and Ten Kingdoms period. According to your list only a single war took place for nearly 80 years in china, until the Song dynasty, which formed and unified (most of) china without a single war, attacks Vietnan, whereas in China it's known as a period of endemic warfare until the Song reunified china through conquest. Compare that to a Viking raid on Lisbon that does get its own place on the list.
One reason is that Greece invented proto-empiricism. Other cultures invented math, but because of Plato only Greece elevated research and abstraction into a process of formal discovery rather than just a set of neat tricks for a limited set of problems.
China was a bureaucratic empire and didn't see the need. Rome was a fascist militarist slave owning culture which soon turned into a dictatorship. Both developed philosophies which were more oriented towards ethics and morality than empiricism.
So there was no formal culture of curiosity and invention. Inventions appeared and then they disappeared again. There was no momentum driving the process forward.
The West did develop an empirical culture. This was partly because it inherited the principle of formal abstraction from the Greeks, and partly because a tradition of physical exploration, with accompanying developments in ship technology and weapons.
China and Japan both turned back in on themselves. Rome was more interested in conquest than exploration.
The West explored - physically in search of gold and trade, but also philosophically and practically.
So IMO the real reason the industrial revolution happened is because the West had a culture that incubated technology and invention in a way that other cultures didn't. Not only were there associations for the advancement of knowledge like the Royal Society, and informal networks of researchers and mathematicians, there was also a practical tradition of engineering in wood, iron, stone, glass, fire, and water, on land and on the sea.
And also an economic reward system - abstracted from imperialism - which made practical engineering individually profitable.