I think the question is: given a 3-body system with objects A, B, and C, is C's gravitational effect on A altered in any way by the position of B, or are B's and C's effects on A independent?
The reason for the question, I think, is because of an intuition built up around EM. In the system
A B C
B can block and otherwise interfere with C's EM radiation so that its effect on A is different depending on B's location.