I don't think it's a daft question that you ask because in the Bolton situation Eddie Davies' family actually put the club into admin because they had an unpaid charge due from the club - controlled by Ken Anderson. And I think it got to the point where the family lost patience with Ken and believed he wasn't acting in the best interest of the club.
Ken Anderson then put the hotel into admin in response. So we had 2 separate admins, one for the club and one for the hotel. To be fair, it seemed that the club admins were way more vocal and urgent with trying to get a sale but the hotel admins were dragging their feet and no one heard a word from them until the club and hotel were sold.
Anyway I'm not saying your admins are crooks but the owners put you into admin, not DW or anyone else so does that change anything? I'm not sure. I think it's the admins job to do the best for the business, so I doubt they'd make any moves that risks their credibility. They will be paid by whoever buys the club or if liquidation were to happen, they'd be paid from the sale of assets, so it doesn't seem beneficial on the face of things for them to pick sides.