Wisdom around here seems to be that ARX and LC are not for the same "problem".
ARX is good with sludge and hard carbon deposits in the ring pack.
LC-20 is good with varnish and helps fight oil oxidation to increase the OCI length.
It's been said that the effects are orthogonal but that they shouldn't be used at the same time. Reference has been made to one "cleaning" the other out of the oil.
If, for instance, you're trying to quiet noisy lifters the effectiveness of each cleaner will depend on why they're noisy - varnish-like desposits or sludge-like deposits.
Both are good and there's no one answer to your question.