I don't agree, it'll be the same club for all intents and purposes. Same fans, same team, same pitch, etc. It'll just be a new business maybe with a slightly different name.
If a building company went bust and a new person bought all the assets, re-employed the same staff and took on the same customers, it'd still be the same company just with a different name. Using your logic, Manchester United should have lost the right to their history first when they floated to became a PLC, then again when they were brought back into private ownership via the Glaziers. You cant change history..