Some Major Issues:
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The industrial revolution started almost a century and a half after 1600 (in 1760) which was well after European colonization.
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You are assuming that Europe would have developed the same way if they remained isolated. For example, the fundamental ideas which ultimately led to the modern concept of disease (bacteria and virus causing infection) was introduced to Europeans via the Native Americans. Beforehand, Europeans thought sickness was caused by religious superstition. This is why sterilization between surgeries wasn't really a thing in Europe beforehand. European medicine involved reusing bloody knives to perform surgerys on different people because they didn't understand the concept of cross contamination.
The knowledge today is not purely the result of European thinkers. Your prediction grossly discounts the contributions to science and technology from other cultures in world.
Not exactly germ theory, but the early concepts of contamination which ultimately led to germ theory.
The Native Americans at the time did not postulate the concept of bacteria and viruses, but they understood that sickness was not supernatural and that it was important to sterilize in order to prevent further sickness.
Native American medicine was in many ways more advanced when compared to European medicine at the time. They also introduced things like sun screen, painkillers, and dental hygiene to Europeans.