eh it works for ww2 after carrier aviation became a thing. But the thread is meant to be about battlecruisers and they were a thing before carriers, and werent really constructed post ww1 a few ships already laid down were completed but as far as I can recall no new build ones were started.
for ww1 its a little more like
submarines were for sinking enemy commerce and ambushing enemy capital ships.
destroyers were for hunting submarines, launching torpedo attacks on other surface ships, scouting and fighting other destroyers and protecting their own battleships from destroyers.
cruisers were for scouting, hunting enemy commerce and screening the fleet in battle.
battleships were there to kill everything that floated.
battlecruisers were battleship sized and armed but cruiser armored and were for hunting down enemy cruisers, scouting ahead in major fleet actions and flanking movements in major battles.
the bits about AAA arent relevant to the paradigm when battlecruisers were constructed and battleships and large naval rifles were the main killers in theory