Yes but even in its symbolic sense: the British monarchy distinguishes British identity, its sense of sovereignty, and its relationship towards Europe. (When comparing to France/Germany in particular.)
And as stated before, it has a closer bond to the U.S. historically (for obvious reasons) and presides over a thriving Commonwealth of nations.
To be fair, France probably would have consistently retained its monarchy had the French Revolution never happened, and the only reason Germany lacks a monarchy was because of the Treaty of Versailles. If you ask me, we if anything should restore the monarchy (the French Revolution and everything related to it is nothing more than very bad news).