Would you trade a stock, or an option, which doesn’t have any stars/low number of stars showing the level of correlation with the OVI?

Would you trade a stock, or an option, which doesn’t have any stars/low number of stars showing the level of correlation with the OVI?

No stars simply means that the stock is not in the S&P 500. The correlation score is a complex algorithm with a nuanced meaning. 

If presented with two choices, one with 1 star and one with 5*, then the better choice is more likely to be the 5*. 

Remember, the stats are compiled on the basis of a portfolio approach. 
This is entirely valid for research purposes, but will deviate somewhat with retail discretionary trading.