The first Sunday talk shows after a U.S.-Iran prisoner exchange in Doha found Washington arguing less over whether the Iran war was over and more over how to pay for it, whether to investigate it, and how much authority President Donald Trump should retain as he weighs the next phase of Gulf policy.

Five days after the Islamabad ceasefire took effect and one day after roughly 40 detained foreigners, including the remains of several U.S. service members, were handed over at a Qatari air base, senior administration officials used the morning programs to press for swift passage of an emergency war supplemental and to wave off Democratic demands for an independent commission. Democrats countered with a renewed push for the Kaine-Murphy war powers resolution and warned that “the moment of relief” could not be allowed to bury accountability.

Secretary of State Margaret Whitfield, appearing on “Meet the Press,” called the Doha exchange “the cleanest closing chapter we could have hoped for at this stage” and said the administration’s focus for the coming week was “getting our wounded the care they need, getting allies repaid for what they spent on our defense, and getting the supplemental across the finish line.” She declined to commit to releasing the full classified annex of the Islamabad framework, citing what she described as ongoing monitoring inside Iran.

“This was a war the president did not start and a peace he insisted on closing himself,” Whitfield said. “He is owed a few days to brief the country before the second-guessing begins.”

The second-guessing did not wait. On CBS’s “Face the Nation,” Senator Theresa Holloway of Michigan, the ranking Democrat on the Foreign Relations Committee, said the prisoner exchange “does not retire the questions Congress has every right to ask.” Holloway repeated her call for an independent commission modeled on the 9/11 panel and said she expected a vote on the Kaine-Murphy war powers resolution by the week of April 27, the timeline floated Thursday by Senate Majority Leader John Thune.

“We sent 350 Americans home in flag-draped coffins, and we have not yet had a roll-call vote on the authority under which they were deployed,” Holloway said. “That is not ‘relitigating a war.’ That is the constitutional bare minimum.”

Republican defense hawks largely closed ranks around the administration but kept their leverage in view. Senator Walter Briggs of Tennessee, who pressed the White House throughout March for a sharper military endgame, told ABC’s “This Week” he would support the supplemental “without amendment” but expected the administration to commit, in writing, to a permanent rotational naval presence in the Gulf and to a continuous IAEA enrichment-cap inspection regime inside Iran. “I gave the president his ceasefire,” Briggs said. “Now I want the architecture.”

Senator Rand Paul of Kentucky, the lone Republican to back the Kaine-Murphy resolution publicly so far, used his Sunday appearance to argue the opposite case. Speaking on “Fox News Sunday,” Paul said the ceasefire had created “a window to reassert congressional war powers without any tactical cost,” and predicted at least three more Republicans would join him by the time the resolution reached the floor. He named no colleagues. Aides to Senators Lisa Murkowski of Alaska and Susan Collins of Maine repeated language from earlier in the week that the senators were “reviewing” the resolution.

White House Chief of Staff Brendan Cole, in a sit-down on CNN’s “State of the Union,” focused on the economic case for moving quickly. He noted Brent crude had slipped below $99 a barrel in Friday’s session, the S&P 500 had clawed back most of its war-period losses, and consumer pump prices were tracking lower into the spring driving season. “Voters want this week to be about gasoline and groceries, not about a Beltway commission,” Cole said. Asked directly whether the president would veto a war powers resolution if it cleared both chambers, Cole said the question was “premature,” but added, “the president has all the authorities he needs for what comes next.”

What comes next, on the Hill, includes a more concrete fight over money. A draft supplemental circulated late Friday by the Senate Appropriations Committee carries a topline figure of roughly $96 billion, covering interceptor replenishment, carrier strike group costs, allied munitions reimbursements, refugee assistance and the standing-up of a Muscat monitoring cell tied to the Strait of Hormuz observer mission. Senator Patty Murray of Washington, the committee chair, told “Meet the Press” she expected the bill to move through committee by Wednesday, with floor debate beginning Friday.

The Sunday shows also picked up the unresolved fight over the Sanders-Ocasio-Cortez artificial intelligence moratorium, which cleared the Senate on April 7 and remains in House Ways and Means with a markup scheduled this week. Representative Pramila Jayapal of Washington, appearing on “State of the Union,” argued that the easing of the war had not changed the underlying argument over electricity demand and grid capacity. “The lights flickered in three states last summer,” she said. “That problem did not vanish because the missiles stopped flying.”

Republican Whip Daniel Kessler, asked on ABC about the moratorium’s House prospects, repeated his Thursday line that the bill remained “dead in committee” and predicted a “decisive” vote against it by the end of the week. House Ways and Means Chairman Jason Smith said separately the markup would proceed on schedule.

Layla Hassan, a Beirut-based regional analyst with the Carnegie Middle East program, said the post-Doha political environment in Washington was sharper than it looked. “Both parties have an interest in moving fast — the White House wants to bank the win before commissions slow it down, and Democrats want oversight on the books before approval ratings reset,” Hassan said in a phone interview. “The next two weeks will tell you how much of the Islamabad framework is policy and how much is just press release.”

Aides on both sides of the aisle said they expected the supplemental, the war powers resolution and the AI moratorium markup to collide on the calendar by midweek. Officials at the National Security Council said additional details on the IAEA inspection protocol and the composition of the UN observer contingent at the Strait of Hormuz would be released before the end of the week.