It's a non issue. People only seem to disagree with it in principle rather than pragmatic reasons.
No, in the UK it has a direct impact on the stucture of the state.
Crown powers exercised by the government
None of these powers has ever been conferred on the Government by our elected representatives in Parliament. They are not democratic powers, but have been inherited by the Government of the day directly from the Crown, bypassing the people entirely. They confer on the Government vast power. The exercise of this power is discretionary. Both Parliament and the courts of law find it exceptionally difficult to subject the exercise of these powers to meaningful standards of review and accountability. Gordon Brown's Government accepted as much in July 2007, when it conceded that 'when the executive relies on the power of the royal prerogative [...] it is difficult for Parliament to scrutinise and challenge the Government's actions'.
The Government's prerogative powers include the following:
the power to make treaties
the powers to declare war and to deploy Her Majesty's Armed Forces overseas
the powers to employ civil servants and to change the terms and conditions of their employment
the conduct of diplomacy
the governance of Britain's overseas territories
the appointment and removal of ministers
the appointment of peers
the grant of honours
the claiming of public interest immunity
the granting and revoking of passports
In recent years the exercise of several of these powers has proved to be intensely controversial.
In 1984 Mrs Thatcher unilaterally decided to ban civil servants employed at GCHQ from joining or forming trade unions
In 1992 ministers in John Major's Government used (and abused) the power to claim public interest immunity (PII) in order to prevent embarrassing documents concerning Britain's arms trade with Iraq being disclosed in court
In 2003 Tony Blair used the power to declare war to wage war in Iraq, on a false prospectus, and without needing to acquire prior parliamentary approval. When he became Prime Minister Gordon Brown said he would surrender this power, but to date he has yet to make good this promise and, indeed, in 2008 he significantly watered it down.
How about the Queen using her perogative
In one instance the Queen completely vetoed the Military Actions Against Iraq Bill in 1999, a private member's bill that sought to transfer the power to authorise military strikes against Iraq from the monarch to parliament.