You also run into things like the rebuild of the Avatars into Liberators and IIRC they 'fixed' their Cameron's power supply problems. Taking a ship apart to that point means you should be able to build something like it. I thought they did make new . . . Whirlwinds? from the Davion IIs.
But did they have specs for ships they did not take with them? Doubtful- first the Robinson as you suggest belonged to another House, you could maybe make a case for a for something like the Luxor or McKenna since they were SL designs. BUT . . . here is where certain data core information bites you in the butt, while the New Dallas and other memory cores have provided plans for mechs, armor and weapons they have NOT included designs for warships (b/c, duh they are wiping them out) . . . closest you got was the Helm Core or other source bringing the FedSuns closer to being able to produce warships.