That relationship does not tell you anything nor has it any predictive power. Did you account for lagging your futures data when you ran your correlations? Because you don't look to answer how current spot/near month oil correlates with current stock index prices. You made the claim that the shape of the futures curve correlates with future stocks price returns. Hence you need to lead/lag your data in a meaningful way before computing correlation coefficients.
Sharpen your pencil.
ES and CL has a 76% positive correlation Daily close-on-close the past 180 trading sessions.
CL and Russell 2000 have a 91% positive correlation Daily close-on-close the past 180 trading sessions.
