Senate Minority Leader Sen. Mitch McConnell of Ky., testifies on Capitol Hill in Washington, Tuesday, June 3, 2014, before the Senate Judiciary Committee hearing on "examining a constitutional amendment to restore democracy to the American people". The Democratic-led Senate Judiciary Committee on Tuesday began a long-shot bid at a constitutional amendment that would limit deep-pocketed political campaign donors' influence. (AP Photo/Manuel Balce Ceneta)

Rep. Paul Ryan's (R-Wis.) 2011 budget proposal has incited an advertising war in one of the country's premier Senate contests over how it would have affected Medicare beneficiaries.

The discord between Senate Minority Leader Mitch McConnell (R-Ky.) and Kentucky Secretary of State Alison Lundergan Grimes (D) began Tuesday, when Grimes' campaign put out its first negative ad criticizing McConnell for voting to open debate on the budget plan. McConnell fired back 24 hours later, calling Grimes' attack a "false" one.

Grimes' ad relied on a Center on Budget and Policy Priorities report estimating that Ryan's budget would increase the out-of-pocket expenses for the average Medicare recipient from about $6,000 to $12,000 by 2022. A subsequent FactCheck.org piece evaluating Grimes' ad said her campaign's claim that the Ryan budget would have raised Medicare beneficiaries' costs by $6,000 a "distortion," since that amount has been disputed and Ryan's proposal would have exempted from its changes those who were already at or near retirement age.

McConnell's response to questions about his past support for Ryan's budget suggests he may be trying to keep the budget at arm's length. His campaign told FactCheck.org that since the motion to consider debate on the budget failed, “There is no way to speculate if [McConnell] would have voted for final passage without having debated amendments."

The campaign's comment is at odds with multiple statements McConnell made about the budget proposal as the bill was being debated, however. A declaration the senator made on "Meet the Press" -- “I voted for the Ryan budget" -- sounds more like a wholehearted endorsement of the plan than a cool one.