The AI doesn't analyze ships, its simpler that way, the AI files determine what ships it builds, based on the tech it has.
Often, the idea that the AI should analyze ships is brought up. It has been pointed out that you could easily trick the AI this way: Hit it hard with some design, wait a bit while it adapts, hit it with a design its not ready for. So that's prob. why it doesn't.
Yeah, using the "Analyze Ship" option under the recycle menu, not "Oh he's using missiles time to roll out mass quantities of PDC'. And I know it turns on more ministers rather than actual skill, I'm just wondering if one of the ministers does this.
That "analyze ship" window is sometimes misleading. If the captured enemy ship has racial tech like crystalline or organic components, it lists the research potential to be big but of course you can't get those techs if you didn't pick that racial trait for your race. So you analyze the ship and get nothing.