Well, I noticed that the Kol Battleship is pretty strong but for a short period of time only, specially if I let the Kol auto-cast his ability...
The Kol is best described as a "brick". It's very durable and with proper backup extremely difficult to kill, but its abilities have high antimatter requirements that quickly deplete it and leave it a glorified combat cruiser. Compared to the reliable and powerful early-game combat power you can get out of a Sova Carrier, that leaves a lot to be desired. I find the Kol is useless as an early-game unit for this reason, but in the late-game a high-level Kol is a very different story.
A level 5 Kol with maxed out flak burst can thin out massive swarms of strike craft in an instant, providing you deterrent against approaches and retaliation. With antimatter upgrades researched and several levels of experience (antimatter regeneration improves along with everything else) the Kol's staying power is much improved. However, this is always a capital ship you cannot leave on autocast. The antimatter requirements of its abilities are just so high that you need to manually time them and conserve that precious resource.
I read that the Dunov is considered the weakest capital ship of the game ?
Probably my comment. My opinion as to "bottom dog" capital ship wavers between Antorak and Dunov depending on my mood. Right now if asked, I'd say Antorak, but Dunov would be a close second.
Against the AI you can get a lot of mileage out of shield restore. I personally don't think this ability merits the expenditure of a valuable capital ship, but it will function at very least. In multiplayer... yeah, don't waste your antimatter on this ability. It'll buy you an extra 2 or 3 seconds of longevity tops, and with an 11 second cooldown and the inability to target itself (meaning that an enemy needs only attacking the Dunov directly to circumvent the ability) that leaves it pretty useless.
Investing in two Dunovs is absolute suicide in multiplayer unless you're up against a tightly-packed Advent with a shield combo (which EMP works wonders against; only situation I'd ever build a Dunov seriously). The problem is that this capital ship has abysmal damage output and its support abilities don't scale effectively as fleets get larger. This means that you're almost always better off with more combat units than a Dunov.
I like using the Dunov against the AI when I have 1 Akkan, 2 Dunov, and 13 Sova
The problem I have with this kind of fleet is that experience points are divided evenly amongst your capital ships, so having too many will slow down the rate at which they gain levels. I find Advent is the only faction that can seriously entertain maintaining more than 10 capital ships (due to Mass Transcendance). In multiplayer, I've never gone above 8 capital ships as TEC or Vasari. As Advent I have hit the 16 cap in multiplayer.
I don't buy that, at the least the Advent's revelation and the Vasari's Marauder deserve that title more.
We're talking about the bottom three here. I'd say the sheer power of Reverie puts the Revelation above these other two, but it's arguable. The bottom line, however, is that we're nitpicking the who's who of worst capital ships in the game, which isn't flattering to them no matter where they end up on the list.