What type of running charge are we talking about? Like Leona or Kim running forward and doing a d~u+P/K or are we talking about dash command throw (or am I totally off)?
taken from the 2k2UM wiki:
""Running Charge" is a simple but useful technique that allows special attacks that require a vertical charge to come out whilst executing a run, the trick is to start running (press f,f) then move the stick/directional pad so that it's pointing in the down-forward direction but continue to hold, then quickly slide it to the up (ub/u/uf) position then press the designated face button then the move will come out, the trick is to hold down-forward so that you'll run and buffer the charge time at the same time, if you want to super cancel the charge move it would require you to buffer the input during the charge move when at times can get really difficult."
so to answer your question, yes, this applies to charge moves. seems like it only applies to d~u moves. though, i'm not sure if this still works in XIII anyway.