As far as BIG ships go, I don't know what the Aslan would prefer.
How about this for starters (and ONLY for starters): they're carnivore pouncers, so can we draw ANY inferences at all as to how they tend to conduct war and design warships?
Do humans design "omnivore hunter" warships? Is our big wargame recreation "the hunt", where we prepare and then go prowling in groups in a decided-upon area for a known quarry? Or is that just good war planning?
If so, then would "pouncer" designs tend to stake out a hunk of territory, lying in wait, and spring on their opponent when they trigger the trap? If so, maybe I could see a battle rider design being popular -- a tender dispatches the pouncing party (note how strange that sounds; whereas we have "raiding parties" do they have "pouncing parties"?), which sits in a system for a certain period of time.
But how the heck do you run a war that way and hope to win? Regular, fast, purposeful movement is required, isn't it? Or is that my Hunter instinct talking?
And then again, just because humans are Hunters doesn't mean they don't know how to Pounce. But it is possible that we tend to prefer Hunting over Pouncing. Successful pouncers are seen as clever to humaniti.
Now, compare those against vargr, who are Chasers. We all know the Chase -- it's a pinnacle of a Hunt. But to vargr, the Chase is the thing. Whereas we move based on the Hunting Plan, they move based on the Chasing Plan. If anything they'd be more mobile than us. Does that mean their ships are faster? Better sensors? Longer legs? I don't know.