Humans have lived on the planet for 200000 years. This way of organizing people as a company interacting with the labor market with assets & investments & risk management...is at best a 100 years old. Its like a drop in the ocean of time.
That said, when I was taking courses in Finance as a young 20 something, I came up with this same exact analogy & took it to its logical end - I conceived a stock exchange called the Human Stock Exchange, where every human being was a human stock ticker, and if you liked the performance of your colleagues you would buy their human stock so their human stock price would go up. You could sell short the poorly performing colleagues on your team...its a pretty toxic concept, if you think through it.
Ofcourse, since its such a toxic idea, given the extremely virtuous nature of our benign species, this toxic idea must already exist & thrive. See for instance Will Smith's stock taking a beating after what happened yesterday - https://www.hsx.com/security/view/WSMIT