1) How do you know the results are not reliable?
2) Rigid elements can have rigid body motions (translations and rotations), so they can act very different from MPC equations. Both give correct results; the user just has to understand how each one behaves and select the proper modeling technique.
Rigid elements and MPC are often abused and misunderstood. Build simple models first to understand their behavior (this should be done whenever you are using an FE feature that you have not used before.
FEA = A (SOMETIMES CLOSE) APPROXIMATION TO THE VERSION OF REALITY INPUT BY THE USER