I am assuming your current projector is an older 3D ready projector that required a 120hz 3D formatted signal from a computer or Optoma 3D adapter?
Those older projectors did not have a reference signal for DLP Link, as in knowing which alternating frame image was which, and is the reason why the L/R orientation had a roughly 50% chance of being incorrect. Newer 3D DLP projectors either get 3D via HDMI 1.4, or is decoded internally from side by side squeezed or top bottom squeezed 3D content, typically which are pay tv services. The L/R orientation in all cases is known and established.
In short- DLP link on newer projectors is the correct orientation, all of the time.