it does not refuel better than a tanker
it does not command better than any bridges on a cruiser.
it does not support better fire than a carrier or even a destoryer
intelligence? i have no idea what you meant by that.
Nothing says better that your navy is obsolete and not modern than having a battleship.
See? i just invalidated everything you posted. Your facts are wrong. No need to thank me for the enlightenment.
In your own mind you might have invalidated something.
However, since it's patently obvious you have no idea what you're talking about, I'm going to correct you one last time, and then you can (and probably will) continue to post your inaccuracies:
1. Who cares about a tanker? Not what we're talking about. The fact that you even mention one shows you are clueless. We are talking surface WARships. Not support ships. What can an Iowa do better than other WARships. Tankers can't keep up with warships. They have to be pre-positioned and the warships have to rendezvous with them when they can. And a tanker can ONLY supply fuel, btw.
So yes, a Battleship can most certainly supply its escorts or say, a carrier's escorts (if they're working together) with fuel, so they don't have to break off and go meet the tanker. The smaller surface WARships can't do that. So I'm 100% right here.
2. Command ship. Do you even know what that is? Clearly not. Flagship. Command center. Hint: All that doesn't happen on the bridge. An admiral's flag staff needs room, lots of it. Battleships have it. Cruisers and destroyers do not. Again, I was correct here.
3. Intelligence center. Yeah, I know you don't know what that means, just like you've demonstrated throughout the rest of this conversation. Intelligence gathering. Spies. Listening post. ESM. All of that. The Iowas have a dedicated place in the ship for it. Smaller ships don't. Certainly not as extensive, if they have anything.
4. Fire support. Battleships have 16" 50 caliber naval rifles. Game. Set. Match. There is no equal in any navy to those. The one Zumwalt class ship the US Navy has possesses 155mm guns that can shoot 50 miles. Each shell costs one MILLION dollars. So expensive, the Navy can't afford to fire them and are now developing new, less expensive shells.
Now, the 16" guns on the Iowa (406mm) fires shells out to over 26 miles, accurately. They weigh anywhere from 1900lbs to 2700lbs. The Zumwalt's guns can fire 50 miles, and the one MILLION dollar shells weigh 225lbs.
New shells for the Iowa were designed tested to shoot roughly that far. They just needed to be produced, but the ships were mothballed before that could happen. So call the range even, and tell me which gun you want firing for effect. Iowa wins that, easily.
So again, I was correct. No ship afloat matches the Iowa for fire support.
What's really funny is that for your "examples", you used 4 different types of ships that can do things ONE type of ship can.