I don't see why not I use UWW+ everyday an I always use it after bug cleaners,Meg's wheel cleaner, purple power anything I I use for a lil extra cleaning power so I don't see why not. But maybe the experts have more to put in.
Use a pressure/garden sprayer if you must avoid the hose.
I'd be a little concerned with only a ONR or UWWP wipe to remove Iron X. I don't think it would remove all of it, and what's left on the paint would not be completely neutralized.