Yes, more what I was getting at is L1, L2, L3, L4, and L5 exist even if no other body in the system is large enough to produce an LP as you have designed. Effectively the body has an LP, it just didn't go anywhere and your programming removed the null LP from the system.
The answer to my question is no. Now I just get to sit back and see if a near version of Aurora addresses the problems with multi-systems with un-reachable secondary stars.