Maybe, but both product makers have stated it's a dumb idea. There's nothing to gain and perhaps there could be some "clash" between the 2 products. Just my opinion, but I think it'd be better to use one or the other.
If ARX is an organic based cleaner and LC is a solvent based additive that has any attraction to metal, that is lubricates, the ARX will go after the LC and clean it up. But, maybe Frank should answer this one.