It will pretty much be the only time we will do it, because its unlikely we will have both LHD's and Choules all lined up, it will be like a full eclipse, rare, lasting only minutes. (still mighty impressive)The ARG is also predicated on every single helicopter in the ADF being serviceable at the same time and embarked on the LHDs. There are a whole lot of capabilities that might cause the ARG to fall over, the LHDs are just one of many.
It's worth remembering, the ARG is not a full time capability. It's not even a part time capability. It's an 'in the event of war, break glass' capability that if enacted would be an ADF main effort. It will get tested once when the second LHD comes online just to prove we can do it, but that's it.
With a stronger Chinook fleet, that would take significant load off entire helo fleet. If we had 12 operational (like we used to) or even 8, then it would be far more doable. The we would need to ensure we had the troops, vehicles etc to be able to do it more often. Even ignoring the LHD's, our commitment in Afghanistan highlighted we were already weak in this area.
But if we don't have the ships, we don't have the aircraft, we never train for it (except this once), we don't acquire the tools, it will never happen again. What use is capability if you can never use it? What happens if the war comes and we have a blown transformer? or more realistically, we are locked into a cycle which prevents the ships being available all together.
My argument is that perhaps with a few minor sacrifices (eg Balkipapan replacements the LCM and LHD can do that job admittedly with overkill, but can offer additional humanitarian support which we should be doing anyway - hospital facilities, etc) it drops from nearly impossible and highly disruptive to merely difficult.
Should be impressive.