I wouldn't worry too much about that, most of the adult Bolivian Rams I've seen would have a tough time eating a neon. Mine seem to igore all other fish and concentrate on harmless bickering among themselves.
Well this thread has cleared up my 7 month old mystery, out of my first pair of normal rams only the female survived (after they spawned 3 times in six weeks!) and before he died the male showed the same signs as those quoted here, lethargy, lack of feeding, gasping and finally obvious swelling to the gills on one side. Water was perfect for them and nothing seemed to help and it was months before I could bear to try another male. This time I waited until the Rams had been in the shop for 3 weeks (not the best lfs, and the tank was a "washing machine" the power filtration was so strong) and chose one of the survivors. This seems to have worked, the new male has grown well, seems strong and they are spawning as I write!! wish me luck!!