I think with the success of systematic scientific understandings, we look past other, previous ways of knowing things. Medicines (eg antibiotic containing "witches brews," pain & fever relieving tree bark, etc.) existed prior to scientific medicine.
People arrived at this knowledge somehow. Ritualized copying is how knowledge was transferred, not attained. A lot of knowledge of complex processes to utile nutritional and medicinal resources probably predates our species... The knoweldge was possibly attained by means that we don't understand anymore.
In any case, compound bows are bows. Bows were invented, reinvented and refined, & spread many times. The composite bow (made of wood, horn & sinew) is a complex design using ancient materials, each with different properties. Even the simplest wooden bows, if important, usually embed quite a lot of knowledge about material selection, treatment, and construction. High powered crossbows and such utilizing spring steel were the last "prescientific" burst of innovation, taking advantage of newly abundant materials.
It's not really all that different from the modern incarnation of that particular type of machine. When that guy was doing it in the 1960s, we know how he invented. He used knowledge of physics to calculate force, stored energy and designed for specific optimization. What was the Scythian bowmaker doing as he selected glue to attache sinew to his radical new bow design?