There had, however, been tension over the Budget.
Changes had already been planned. The chancellor had also announced that she would only respond to the OBR's forecasts once a year.
Mr Hughes told me: "We'll still be producing two full economic and fiscal forecasts looking five years out, twice a year, now and in the spring.
"But with this change of legislation, the government doesn't feel obliged to respond to those forecasts with policy in the spring. It'll be more like a health check on the economy and the public finances.
"There'll be no loss of transparency from the forecast documentation that we'll produce."
The precise design of the new approach to the OBR's forecast will matter. If there is a marked improvement in the public finances in spring, will the chancellor really avoid spending any "surplus" ahead of crucial local elections?
Around the Budget, the OBR scored an improvement to the UK economy as a result of the use of AI by the end of the decade. The OBR also used new powers to initiate a tricky costing for the ballooning cost of special educational needs in England, inviting a backlash from some Cabinet ministers.
For some this underscores its ability, like no campaign or Cabinet minister initiative, to focus government priorities. Mr Hughes denied the 35-member forecasting group was too powerful.
"The powers given to us are those given to us by Parliament in an Act of Parliament, and that's to produce a forecast. Chancellors set their own targets. They set their own policies. Chancellors are in charge of £1.5 trillion worth of revenue and £1.5 trillion worth of spending," he told me.
"If they don't want to meet their targets, they can change them, which we've seen chancellors do in the past as well.
"All we do is produce a baseline forecast, cost government policies when they give them to us, and we give them an assessment about whether we're up there, in line and on track to meet those targets."
In terms of the government's difficulties over the run up to this Budget, Mr Hughes may also take some important details of the timing of various claims around the state of the public finances to his gardening leave.
He had been due to address the Treasury Select Committee this morning, that has now been cancelled. He recognised the publication of his clarification table on Friday of the evolution of the forecasts was unusual.
Over five years at the OBR Richard Hughes faced five chancellors, and his relationship with all of them was designed to help promote UK economic stability.
The new relationship with a different OBR is an opportunity for the government, but a big risk too.