I've only got the capture the AI objective once, and while I did pull it off, I do have to admit it was the least fun of all the objectives i have got (Minus the inital rush of a plan coming together)
Getting it was fairly easy, though i got pretty lucky that my plan worked: Cut 2 layers deep into far rear of AI sat, plant Syndicate Bomb, wait for explosion to GUT the entire AI cores zone including all its turrets, run up and card, fly out. Then by fluke ended up drifting through space for an hour and a half talking with the AI as we tried to find our way back.
Overall the concept of "You completed your objective, but now you cant do anything for 1 and a half hours lest you be caught and more or less no amount of being sneaky will prevent this" isn't really appealing to me and in the future I may Ahelp a change in objective if i do get it again.
Side Note: If the AI is stuffed into a storage implant, can they still alert people to your location or talk?
If not, that REALLY is a terrible thing to do to a player, an AI in that situation may as well just Ahelp and request a respawn because they are done for that round.