055 can't even beat Ticonderoga in VLS count. It also can't carry ultra large Hypersonic missiles that PLARF has. So, Type 055 is not a "Battleship" for the modern era.You mean like a 055?
A true modern battleship should have displacement atleast double that of 055. So, around 25-30K displacement. It should have 100+ VLS Air defense plus 30-50 larger VLS for Hypersonic anti-ship/ground attack missiles that are similar in size to DF-26/27.
A modern day kirov class type ship with modern radars and sensors and also hypersonic weapons will be what I would call a modern day battleship.