I do agree this is a great idea. The RL, naturally, is often focused on the "offensive" side of fights and so having a healing lead do assignments is a natural efficiency booster. Also, clearly, it cuts way down on overhealing, and "whack a mole" style healing in general, if every healer knows what their specific job is.
IMO, refining our healing assignments process in the past (e.g. classic and raiding) sometimes been the difference that took Redeemed off of progress plateaus and onto bigger and badder thigns.
Perhaps even the crude "/join redheals" channel approach from before would be a help as well. Unless we're already doing that and I'm just oblivious, which is entirely possible!