[quote=@WilsonTurner]
Um
Now, your nation may have intentionally done this, but traditional ship classes have destroyers as one of the smaller ships, battleships the largest, and cruisers acting as everything in between. The reason being that destroyers were made with torpedoes- powerful anti-ship weapons- that get in close using superior speed and mobility- something that a large ship struggles with. Cruisers, meanwhile, act as anything from larger, better armed and armored destroyers to smaller, slightly less powerful battleships. They're to take down enemy destroyers, cruisers, and aircraft with their moderate AA, guns, and armor. 

and Duck, if you get angry at me for disagreeing again, then go ahead and kick me from the roleplay. This is science fiction, and is generally an advanced- type roleplay, based on previous iterations of the series. If you dislike me disagreeing and not accepting everything, and won't put up with it, do tell me now. 

Based on factual, modern information of traditional ship roles, this is the sizes of ships from smallest to largest:
https://en.wikipedia.org/wiki/Destroyer
https://en.wikipedia.org/wiki/Frigate
https://en.wikipedia.org/wiki/Cruiser
https://en.wikipedia.org/wiki/Dreadnought (This was the battleship up until America became a world power, in which the 'superdreadnoughts' of the time were renamed to 'battleships')
https://en.wikipedia.org/wiki/Battleship
[/quote]That sounds like old WW2 classification system. Granted, since then many of these classes kinda became obsolete.
Modern naval terminology also rather adapted a hull classification system with 1-3 letter anagrams showing the ship's role.
Also in modern naval terms Frigates are much smaller than Destroyers, the latter are sometimes even becoming pocket battleships in terms of role. Take the Zumwalt-class destroyers, for example.
But like I said there's so much confusion over the use of old school ship categories that they partially reforme this into a new system.

On the other hand sci-fi battle are often WW2 in space so in this sense your terminology is absolutely right. Well, save for the Dreadnought which is often use for superheavy battleships because their name just sound cooler and more threatening.

Anyways, settling down on an uniform ship classification system would be great. Otherwise it leads to confusion.
Alternatively just separate escorts from warships in your fleet. Escorts will imply they are weaker ships used for screening and as force multipliers while warships would imply independent vessels with competition grade protection and/or firepower. This simple distinction may be all we need and leave ship classes as flavor texts.