In my own opinion if the Warship was damaged to the point that it couldn't hold off a boarding party, couldn't jump away and was then getting repeated strip mined for parts, what would be left floating in space wouldn't be worth the effort of doing anything with.
Post Jihad the number of shipyards that are able to handle Warships is depressingly small, most of the Great Houses can't even properly repair their own right now so unless they could somehow get it to Terra or the Outworlds Alliance, who can fix it? As for a Yardship, they're kinda in short supply right now, something tells me they're not going to take a trip out to the Periphery for a gutted hulk when there's plenty of work closer to home.
Besides, if the locals are already breaking it down then there's no need to worry about them rebuilding it and trying to use it. Realistically I think the most action any of the big powers would take is to assign an operative to monitor the situation. If things change they're more likely to try sabotage to remove any threat rather then salvage.