It depends on how you interpret these phrases. This is valid logic if
"More likely to side with X" => The lawyers believe that you are more likely to side with the plaintiff than with the defendant on the basis of this information (Pr(P | Over $50k) - Pr(D | Over $50k) > epsilon)
"No effect on either lawyer": The lawyers believe that this information provides no insight into your decision (|Pr(P | Under $50k) - Pr(D | Under $50k)| < epsilon).
"More likely to side with X" => The lawyers believe that you are more likely to side with the plaintiff than with the defendant on the basis of this information (Pr(P | Over $50k) - Pr(D | Over $50k) > epsilon)
"No effect on either lawyer": The lawyers believe that this information provides no insight into your decision (|Pr(P | Under $50k) - Pr(D | Under $50k)| < epsilon).