The Alaska class as command cruisers

Would an Alaska-class large cruiser have made a good command cruiser?

Yes. Its size provided ample space for a flag staff, communications, and the other facilities needed to command a force.

An Alaska-class hull offered ample room for an admiral's staff and command facilities. Its heavier guns also made the flagship visibly more powerful than the surrounding cruisers. A conspicuous flagship could support morale because the admiral was visibly sharing the formation's danger. That conspicuousness also made the command ship a likely focus of enemy attention.