You are giving way too much credit to science in the early phase of industrial revolution. Science has been extremely important in technological development from late 1800s onwards, but the most critical leaps of late 1700s and early 1800s had little to do with Newton-style science. Instead, they mostly about engineering improvements, combined with a newly widespread social attitude that technology actually can be significantly improved. Flying shuttle has not been based on some theoretical scientific model, but rather on experience with making looms and ingenuity in improving them. Similarly, Watt didn’t create his engine based on theory of thermodynamics, instead he just observed that repeatedly heating and cooling the cylinder is wasteful, and came up with a technique to avoid that.

If you follow the development Industrial Revolution, you’ll see that it’s mostly thanks to ingenious engineers, not smart scientists. The scientists did occasionally deliver something valuable, often in fact paradigm-changing, but importantly, this only became very relevant around the turn of 20th century.