Put more simply, there's less of a need to land on beaches against nations with substantial anti-shipping missiles now.
The only case in which I could see the Zumwalt being useful would be a knife fight in the close confines of the Persian Gulf, where the Iranians could employ short-range radars and AShMs to risk USN assets. But otherwise, the Zumwalt is a case of overspending, I think. If the USN wants to make a ship stealthy, it should focus on the large ships...
The fact that US Naval planners prepared for, designed for, and then were able to get approved and built the Zumwalts tells you that they definitely see, in the future, the need for amphibious assault on beach-heads from their LHDs, LHAs and LPDs where heavy gun fire support will be required. And now they shall have it.
Thinking that a Zumwalt would engage one on one in a knife fight of any sort would in fact be a good case for overspending, because that is not what it is designed to do and would be a vast overkill in such a scenario, and far too risky for such a capitol asset. Engaging other navies or ground forces in sterength as a part of a larger group however is precisely what she is designed for.
The US Navy did focus on a large capitol ship for stealth...and it is the Zumwalt. She is a LARGE vessel, over 600 ft in length, a beam of 80 ft, and a displacemnt in excess of 14,000 tons.
She will do a very good job of what she was designed for...supporting Amphibious Ready Groups in putting large numbers of troops ashor and ensuring that within 80 miles or so of shore, that they have all the fire support they need.
Now, if the PLAN were ever to design and build such a ship, they might be more oriented towards surface fighting with some sort of arsenal ship. The Virginia's, with their 80 PVLS cells can engage in that type of capability too...but they also have the clear capability of engaging ground (or other surface) targets out to 80-90 miles with their 155mm (that's basically 6") guns, and doing so with a design criteria for very heavy, very accurate fire rates.