Would future space admirals favor huge ships, or smaller ones?
I tend to think for warfare, large swarms of smaller ships would be better. There are many advantages to many smaller ships. For the sake of comparison; let us say we are talking about the same total tonnage of hardware; say a battleship or a fleet of 100 smaller ships that collectively weigh the same as the battleship. Note first, this can be more expensive, but the expenses add redundancies that are an advantage.
For example, you now have 100 engines, and 100 armament systems. You have infinitely more options in battle: A battleship is in one place; you have 100 ships you can arrange however you want. A battleship is hard and slow to move; 100 ships can be reconfigures into a front, a spear, with a mile between them (very easy communications distance even in poor weather) they can present a 100 mile wide search front. Unlike the battleship, you can sacrifice 10% of your ships to eliminate an enemy. A single torpedo, missile or Kamikaze bomber could sink (and has sunk) a battleship, or loaded with appropriate incendiaries start an inferno deck fire that disables the ship. But a Kamikaze doesn't sink a fleet, at best it sinks 1% of it: You have resilience.
Finally, big ships tend to have centralized resources and supplies of food, fuel, communications support, etc. A fleet of smaller ships will tend to result in decentralization of these resources and supplies, which is a good thing: You have backups, and therefore (again) resilience.
There are parallels IRL; in my field the modern supercomputer is actually a network of tens (or hundreds) of thousands of off-the-shelf Intel processors, the same ones you can put in a desktop or laptop machine. The chips themselves are typically up to 64 independent processors. If any fail to function, the controlling software can just not use that chip, we mark it as offline and get on with the day's work. The servers hosting this site are probably working exactly the same way: If a node fails, it is marked as offline and not used until a tech repairs it. A swarm of "small" ships (processors in a supercomputer) can do things impossible to do with a single large ship.
I haven't forgotten we are talking about space; all of these translate, with a few substitutions, to the space scenario.
There are some practical disadvantages; it is slightly more difficult to transfer personnel, move supplies and fuel around, etc. It probably requires more fuel. Storms that a big ship could ride out could sink some smaller ships (less of a problem in space; but translate perhaps to space debris).
Overall, by having 100 hulls, 100 engines, etc, the interior livable space could be much tighter than if all that material was used to enclose one giant space. The small ship fleet is not for the claustrophobic! But we are still talking about, say, 400 ton ships, so it isn't just a pilot's seat and a few jump seats. Think more like Submarine quarters; the crew can still sit around a table to eat or play cards; you still have a galley to cook in. A battleship has a crew of 2700, so the small ship crew is on the order of a squad of 27 or so people. Of course you can have highly trained specialists scattered throughout the fleet, electrical and mechanical engineers for example; you don't have to provide one for every ship.
I wouldn't rule out very strong network communications throughout the fleet and virtual reality or virtual presence. Small does not have to mean primitive.
Although each ship should probably have a ship-runner (person in charge), the chain of command doesn't have to be self-contained; e.g. personnel can report to both their ship-runner and a fleet-wide executive that is on another ship, and take their orders from that executive. A ship-runner may only be in charge in situations where the fleet-wide executive is offline, dead, or the ship's comm systems are disabled.
I think there are far more advantages to a fleet than there are to a monolithic ship, and the disadvantages of a fleet are manageable. Rationally speaking, I think I'd opt for the small ship fleet and the resilience it offers: If 50% of my big ass ship is blown to smithereens, I am probably dead. If 50% of my fleet is blown to smithereens, I can still win this thing.