The thing is, that separation of capital owner and worker that you’re referring to is the arrangement people come to when given the freedom to choose their arrangements.
To me capitalism is defined by free markets. A free market is one in which the economic relationships are consensual.
Turns out, many people would rather have a steady job than be in business for themselves. I’ve done both, and I see the merits of both. Right now, I choose to work for a huge corporation. As long as I show up I get paid. That’s working well for me.
What you’re referring to as the laborers getting the benefit of their labor is something that’s already permissible in a free market, and it happens a lot. I was a freelance software developer for many years. I also had a business building and selling easels. And cookies. And smoothies, on a subscription model. You read that right: smoothie subscriptions.
So while it may seem that my definition based on free markets, and your definition based on the separation of ownership and labor, are different definitions, I see them as the same thing.
Or maybe, to be precise, free markets lead to capital accumulation and when capital accumulates beyond an individual’s ability to work it themselves and they hire someone else to work it, capitalism begins. So maybe free markets lead to capitalism by your definition, as a state of wealth distribution and a set of working relationships.
The real key point is that this set of relationships you call capitalism, is the natural result of people being free to do as they see fit.