That can't be right because it would violate the separation of powers that underlie the checks and balances at the core of the US government.
If the executive branch, through the DOJ, could interfere in the workings of the legislative branch, then it could prevent the legislative branch from holding the executive branch accountable for breaking the law.
This matter is internal to the House and the DOJ has no authority to interfere with them. After all, "Each House may determine the Rules of its Proceedings" as per the Constitution.
@Savvyhomestead