Unfortunately that is not the case which is why football has such a bad name in these matters. The football authorities only insist on football creditors being paid 100%, anybody else it is get away with whatever you can do.
In respect of the other creditors DCFC are being treated no differently to other companies that go into liquidation; pay what you can if anything and then start again as a new company. The difference with other companies is that when they have gone bust and re-started, they have to go out and get new customers and literally start from scratch. In the football scenario, unless the FA kick them out of the league, they have a ready made core of customers ready to start paying up the first weekend a game is on.
Bury were just unfortunate, that they couldn't come to agreement with all their creditors.