Can RO waste water be used or drinking? Will the mineral content not be to high?
Why don't you want to use RO-DI for your marine tank?
If you're not drinking it straight away then yes it would be a good idea to refrigerate it because the lack of chlorine etc allows bacteria etc to grow.
In tap water things like magnesium, calcium, potassium, silicon, sodium and a bunch of other stuff.
I think ultimately it just comes down to taste and whether you could be bothered really... Of course there's also "perceptions". I don't think I could convince the gf to drink something that came out of the "waste" end of the water filter even if the "waste" is already after 2 other stages...