What do you think your counter battery fire is going to be? Its going to be ASCM, probably supersonic or hypersonic and what armour is going to stop that? Bugger all. That's why the USN as been going down the track of distributed lethality, which is basically if it floats - it fights.
Or how about something other than counterbattery fire? Instead perhaps a modern heavyweight torpedoe which detonates beneath the hull and breaks the back of the ship?
The fundamental problem with the "Arsenal ship" concept has been that it really is too expensive, specialized, and limited in options for both the cost to bring into commission/operate, as well as properly managing the risk vs. reward in terms of potential service losses. So far, none of the ideas I have seen presented either provide the overall broad, very flexible and highly capable options a USN CVN, or the less broad but more independent potential options available to USN DDG's.
One is presently left with a high-value, all eggs in one basket vessel which does not require escort to/through contested areas from undersea, surface & aerial threats. The other option is IMO just about a unappealing, in that it provides a high-value target which is highly capable across a narrow range of combat or fire support options, but would require escort vessels to protect against threat domains that it's capabilities are just not suited to. In effect, it would require an escort of some kind similar to a carrier gets, yet does not provide the range or degree of capabilities that a carrier can.
Either way, it still remains an "interesting" idea, but one that does not seem to be worthwhile at present.