The point is what will happen in aggregate. If the poor gain $1 additional and the rich lose $1 additional, will investment go up or down? If it goes up then we should target fiscal stimulus at the rich during bad economic times. If it goes down then a BI will reduce future investment.

You are unfortunately in the situation that the stated reasons for your preferred policies contradict each other. That's quite strange - it's almost as if those stated reasons are post-hoc justifications and not your real motivation.