When a future cruiser is marketed as a battleship

Would renewed US or Russian interest in battleships lead other navies to build them?

Probably not traditional battleships; the likely result is a larger cruiser-like escort, whatever politically acceptable name it receives.

The proposed ships are interpreted here as larger escorts occupying a category above destroyers. Their role would therefore be closer to a cruiser than to a traditional gun-armed battleship. A question about command facilities and drones opens the comparison, but no particular future weapons or aviation fit is established. The central design point is that an expanding surface-combatant requirement eventually needs a larger category of ship, regardless of its public label.