No, it's not better than nothing. Having played out the exact situation you are describing, If you have some data, but it has no firm causal link between your i

No, it's not better than nothing. Having played out the exact situation you are describing, If you have some data, but it has no firm causal link between your input and your output, it is simply a distraction and a waste of time and effort to utilize it. You are better off experimenting purely randomly or based on first principles in that case.