As far as fishing lines through a wall, 1/4" is about as easy as it gets, it's on the level of speaker wire being thin and flexible. It's more a matter of where your RO system is and where it is needed. A storage tank might be something of a space problem, but you have incoming water pressure to help position the tank where it might fit. Hooking it up would be easy too. Best bet might be to run it to a toilet, that'll use it up rather fast and could be easier to keep separate from the main line where it might be illegal to connect without precautions. All the substances in the concentrate are already in the water but municipalities might get testy.
Using hot top water is using energy, not sure if your less is meant for time. Conceivably your water heater might use less energy than the distiller but if you have a traditional tank water heater, probably not.