Well... If you look to Canada as an example, you are incorrect.

Under the Canadian Constitution, the Queen of England holds the Executive Branch of Government, and has vested in her great powers: immunity from laws and the full power of veto or creation of new laws at will.
Every law passed by their 'representative' government must reach 'Royal Ascent' (Approval), with some laws actually being struck down.

Hardly a figurehead.

Furthermore, Canada's system doesn't allow for their people to vote for their leader, but rather, their leader is directly chosen by the majority political party, and therefore, can be ousted from power with a simple vote by that majority party.

Constitutional Monarchies are not 'symbolic', when their constitutions still provide absolute powers over government. Tis the modern lie.

Source - Constitution of Canada 1867/1982