Cameron faces fresh questions over Crosby healthcare lobbying link While the document leaked to the newspaper dates back to 2010, before Mr Crosby began working for the Tories last year, Labour claimed it showed a "shocking conflict of interest." In a presentation to the H5 Private Healthcare Alliance - an umbrella group for private healthcare providers established in 2010 before the Government published its controversial health and social care bill - Crosby's firm said private healthcare was an "aspiration" for much of the public. It said: "The public have no ideological objection to private healthcare and don't object to people using it if they can afford it. Private healthcare is an aspiration for the majority of people. They are put off by perceived high costs, not dogma. The British people are proud of the NHS, but also supportive of a role for private hospitals in Britain's overall healthcare system. The shadow health secretary, Andy Burnham, said: "The more we learn of Lynton Crosby's business dealings, the greater the number of question marks left hanging over the conduct and integrity of David Cameron's government." In response a Conservative spokesman said: "The Prime Minister has been clear that Lynton Crosby has never lobbied him on anything. Lynton Crosby is an adviser to the Conservative party. He does not advise on Government policy.