Judging by what is newly happening in Venezuela, I think its unlikely USA will cede control over Iraq's oil/money as the mentality of the US state is unchanged. And USA is in debt/various individuals profiting personally.
https://www.ibtimes.co.uk/us-control-venezuelan-oil-revenue-...
Classic Chappelle show skit: https://www.youtube.com/watch?v=cFERPDn3i0o