It sounds like you are referring to procedures like those provided by Divine Province or Gold Shield Alliance / Freedom Club. They have the right approach and I applaud them for their efforts to make the cabal do the right thing. The problem is, as you know, that their success rate is very low. The cabal has just not been allowing those procedures to work most of the time.
Yes, you could engage the Liberty process simultaneously, and it would create a win-win-win situation for you. On the one hand, in practically all of the many hundreds of previous cases, it has resulted in the pretender lender ceasing their collection efforts. They go away and the card holder no longer is harassed or bothered by the phony bogus debt collection attempts.
On the other hand, in your case, it would also box the pretender lender into a corner. They have the choice of either honoring the process of creation of funds under public policy to liquidate the debt, as you are trying to enforce via the World Court; OR, they face being confronted with the alternative — which is being caught in their fraud — which the Liberty system does. So the Liberty system would both add to your enforcement, as well as liberate you from their collection attempts.