Okay, *I* read the documents. It is clear that you must have a separate storage tank for the GFX-star setup to work 'as advertised'. Only by using a *cooler* separate storage tank is the setup able to capture the waste heat from 'batch' drains. Once the storage tank reaches the temperature of the greywater (or exceeds it in the conventional heater storage tank), performance will drop off.
This way can effectively 'shift' the heat from outgoing batch drains to a separate storage tank of fresh-water. So the greywater doesn't have to be stored, and you can still use the low-maintenance, straight-bore, GFX heat-exchanger.
For 'best' performance, you would want to route the storage tank outlet to the 'cold' tap for the shower as well. This looks like their 'tempering valve' arrangement. But you might be better off routing straight 'cold' water from the supply directly to sinks and laundry, bypassing the whole setup for cold supply to those usage points. Otherwise you would be wasting some of the captured heat on laundry, and who wants a glass of warm water to drink. Some more plumbing :-(
Someone mentioned some concerns about storage tank of 'warm' water and Legionarries disease. But if you have treated water, that probably isn't too much of a concern.
daestrom