No, it doesn't. For one it doesn't have the uber-armor like the Lilith has.
A more correct analogy would be a supporting ship class that has the armor of a ship-of-the-line and the same guns such ship use, while at the same time being constructed with methods, materials and limitation used to build the ship-of-the-line. to my knowledge, no such ship exists.
Armored Cruisers of WWI might be close.
But anyways, I beg differ, and note you cut out the part of the post where I made the the point that
Abercrombie's speed and manuverability served in effect as extra armor for her; at 34 knots and with a turning radius just over four times her own length at that speed she would have been very hard to kill. If you doubt that, see how many rounds were exchanged in things like the Battle of the Komandorskis. Three heavy cruisers spent literaly hours slugging it out over ranges of eight to ten miles with gunfire. The sum total of hits for the 3000-odd rounds of 8" shell fired was about 12. Somebody zigzagging at
28 knots is hard target when you have to deal with time-of-flight issues for your guns. Or for another example, take the destroyers and destroyer escorts of Taffy 3, which took on the majority of the heavy gunships of the Imperial Japanese Navy; they lost three of six, but they survived for far longer than their pure durablity merited because they were dashing around almost at random at 30 knots and it's damn difficult to hit a destroyer that doesn't want to be hit.
But since in FS speed and manuverability won't save you from the beams, the Lilth has actual and not functional armor. In any case, the way a Lilth is employed tactically and the way
Abercrombie was meant to be are almost identical.
But you quibble over a detail easily explained away.
You're digging your hole again, stop while you can still see the surface.
Regarding a modern destroyer being more powerful than a battleship: modern surface-to-surface missiles are all high-explosive warheads. Some of the very large Russian ones like the Shipwreck or Kingfish could probably put a noticible dent even in the armor belt of an Iowa-class, but aside from a supercarrier, they're likely the only ships in the world that have a hope in hell of taking such a hit and continuing that battle, and definitely the only ones that would live through several. Destroyer-scale weapons, such as the US Harpoon, French Exocet, and Russian Sunburn, would simply be laughed off by the armor belt of a 1940's era
heavy cruiser. A battleship? It wouldn't even blink.