Given the way everything evolves from a common (DDM) starting point, you should not be surprised to notice things like that and in fact, you should be pleased; it means you’re tuning into the big picture.
What ROCE does is, in a sense, the same as what PE does or how dividend yield works; you’re expressing a relationship between a measure of periodically generated wealth and the based on capital with which that wealth is associated. That association is always there.
The variations are conveniences for ourselves. In some cases, they help us focus on a definition of wealth that is particularly meaningful to us. For some, those who want a significant portion of investment return to be as quick and tangible as possible, that’s the dividend. At one time, that was the dominant factor. Nowadays, we tend to take a longer view that is highly tolerant of corporate reinvestment, meaning the focus on EPS. Others, focusing on forecasting challenges, move higher up the income statement to EBITDA, gross income, or sales, and others prefer a different accrual-free focus and go to cash flow. One way or anther, though, this is all about assessment of recurring wealth generation.
The same can be said of the other part of the fraction, the capital base. Customarily, when we use words like “value,” we’re market oriented and gravitate toward price or market cap, which relates most directly to what we actually have to pay. But again, we’re forecasting the future and that’s hard so we also can and do use other concepts we think may be more stable and predictable. So we can look at the based on business capital – book value, total assets. And there’s EV, which is a hybrid of business and personal measures of capital. Book value is obviously challenging in its own right due to its accounting heritage, so some like to adjust it, for example by subtracting intangibles.
So yes, you can describe ROCE as a value ratio, the distinction being you’re measuring value at the enterprise level rather than in the equity market. There’s a lot to be said for both and what we use (or whichever combination) is based on ourselves and how we’re choosing to look for clues about the future. Marketplace-oriented clues tend to be more here-and-now and have come under the “value” linguistic umbrella. Items like ROCE tend to be more big-picture and have come under the “quality” linguistic umbrella.
So actually, that “basic” question isn’t really so basic after all. It shows that you’re seeing fundamental items in a new and much more powerful way. You’ve stepped beyond the popular jargon and are now seeing what’s real.