As an example to help to illustrate my point, the attached chart shows two time series. They are actually two sine waves and one is displaced (shifted forward) from the other. But you can imagine they are two price series for the sake of discussion.
The
correlation between these two series is calculated at ZERO. By definition, this means they are perfectly UNcorrelated and move in the same direction half the time and the opposite direction the other half of the time.
Also note they are perfectly
cointegrated as they always move back to an equilibrium (mean) state. If these were real market prices, you could trade them as a mean reverting pair and do very well.
You may also have a perfectly correlated pair (correlation = ONE) that is mean reverting. You can simply imagine two price series moving in parallel but with different magnitudes of movement so they diverge and converge.
The takeaway here is that mean reversion can occur regardless of the degree of correlation. So then why do traders focus on correlation? Because it is intuitively easy to understand, easy to calculate, and is readily available in market analysis tools.
The appeal of correlation also favors trend trading a spread (instead of mean reversion) because it's easier to find candidates that are fundamentally related and statistically correlated. By comparison, cointegration is far more complex.
These differences are also reflected in the "edge" for each style of trading. For trend trading a spread, the candidates are easy to find using correlation but the challenge (edge) is in your timing technique for entry/exit. It's this timing technique that is usually regarded as proprietary by spreaders who trade the trend.
By comparison, when trading mean reversion the timing technique is easy using any common measure of variance to identify divergence. But the identification of candidate pairs is the challenge (edge) since there aren't many markets that mean revert on a sustainable basis due to correlation effects and arbing. Consequently, mean reversion traders usually regard their market selection as proprietary.