If I said it once I've done so hunderds of times.
Ship Classification been dead since the London Treaty and honestly has stop meaning anything these days thanks to tech. It largely decided by what gets the design past the Beancounters.
With everything a ship expected to face peer combat needs to have and do, see the talk of adding fucking Tomahawks to the Constellation or the Burke multihat wearing self, saying it does X so is Y mean squat these days.
Cause modern tech has allow a design to do 5 different things very well, See the Burke being a Solid Performer in ADA, ASW, ASUW, Land Attack, and now BMD thanks to a flexible weapon and sensor system its is built around.
Aegis, MK41 and SPY1/6 is so flexible and can be put on so many sizes thanks to modern tech doing what need Server rooms in the 1990s to do with a Desktop size system mean so long as you are willing to pay the Price for those 3.
And thats the BIG one, there are multiple similar performing scalable systems out there these days. Some do small size better others do big size better.
So honestly Weapon spec should not decide what the ship is, but the other specs, like range and endurance should as well as its expected role in the fleet.
Cause you can have a Ship that is very flexible down to 5000 tons at only the cost of losing Cell count and radar power output. Same for the Opposite side like how the Zumwalts are just as good at ADA, ASW, and ASUW as a Burke despite everyone calling them one trick ponys of NGFS. Thanks because its sensors are just as good and can take all the gear and weapons the Burke has. Plus needing less crew to do it since the thing is design with the idea you can remote control a computer and trust it to do it things automatically so does not need a babysitter with it 24/7 like a Burke does. The Crew in a Zumwalt CIC can do everything to fight the ship as well as double the number of crew a Burke needs who are spread out across the hull due to that. Like you don't need anyone in the Zumwalt engine room to watch gauges or tinkle with the engines, all that can by done in the CIC by the throttleman. And it doesn't even need to be in the CIC, you can set up in the Hanger if needed and still fight the ship in 70 percent capability due to how network it is. Unless the Engine room eats a missile, which no engineer is fixing, it insane what a semi modern design can do despite being a "One Trick NGFS Tub" over a design not even 15 years younger known for being a Flexibility Beast.