Yes, you can run the 1331 in that setup. Both lamps will run in the same battery configurations. In the same configuration, the 1331 is more likely to instaflash because the 1.93A load doesn't produce as much voltage sag in the cells.
Still, I prefer running the 1331 with 3x17670's instead of an 1185. It gets between 35-40 minutes of runtime versus 20-23 minutes with the 1185. Both beams have the same color temperature. Less stress on the cells too.